Sumário

Preface
1Functions
2Linear Functions
3Polynomial and Rational Functions
4Exponential and Logarithmic Functions
5Trigonometric Functions
6Periodic Functions
7Trigonometric Identities and Equations
8Further Applications of Trigonometry
9Systems of Equations and Inequalities
10Analytic Geometry
11Sequences, Probability and Counting Theory
12Introduction to Calculus
ABasic Functions and Identities
Answer Key
Index

Index

AAS (angle-angle-side) 8.1 Non-right Triangles: Law of Sines

absolute maximum 1.3 Rates of Change and Behavior of Graphs

absolute minimum 1.3 Rates of Change and Behavior of Graphs

absolute value 1.2 Domain and Range, 1.6 Absolute Value Functions

absolute value equation 1.6 Absolute Value Functions

absolute value functions 1.6 Absolute Value Functions, 1.6 Absolute Value Functions

absolute value inequality 1.6 Absolute Value Functions

addition method 9.1 Systems of Linear Equations: Two Variables, 9.1 Systems of Linear Equations: Two Variables, 9.1 Systems of Linear Equations: Two Variables

Addition Principle 11.5 Counting Principles

adjacent side 5.4 Right Triangle Trigonometry

altitude 8.1 Non-right Triangles: Law of Sines

ambiguous case 8.1 Non-right Triangles: Law of Sines

amplitude 6.1 Graphs of the Sine and Cosine Functions, 7.6 Modeling with Trigonometric Functions, 7.6 Modeling with Trigonometric Functions

angle 5.1 Angles, 5.2 Unit Circle: Sine and Cosine Functions

angle of depression 5.4 Right Triangle Trigonometry

angle of elevation 5.4 Right Triangle Trigonometry, 8.1 Non-right Triangles: Law of Sines

angle of rotation 10.4 Rotation of Axes

angular speed 5.1 Angles

annual interest 11.4 Series and Their Notations

annual percentage rate (APR) 4.1 Exponential Functions

annuity 11.4 Series and Their Notations

apoapsis 10.5 Conic Sections in Polar Coordinates

arc 5.1 Angles

arc length 5.1 Angles, 5.1 Angles, 5.2 Unit Circle: Sine and Cosine Functions

arccosine 6.3 Inverse Trigonometric Functions

Archimedes’ spiral 8.4 Polar Coordinates: Graphs

arcsine 6.3 Inverse Trigonometric Functions

arctangent 6.3 Inverse Trigonometric Functions

area of a circle 3.3 Power Functions and Polynomial Functions

area of a sector 5.1 Angles, 5.1 Angles

argument 8.5 Polar Form of Complex Numbers

arithmetic sequence 11.2 Arithmetic Sequences, 11.2 Arithmetic Sequences, 11.2 Arithmetic Sequences, 11.2 Arithmetic Sequences, 11.4 Series and Their Notations

arithmetic series 11.4 Series and Their Notations

arrow notation 3.7 Rational Functions

asymptotes 10.2 The Hyperbola

augmented matrix 9.6 Solving Systems with Gaussian Elimination, 9.6 Solving Systems with Gaussian Elimination, 9.6 Solving Systems with Gaussian Elimination, 9.7 Solving Systems with Inverses

average rate of change 1.3 Rates of Change and Behavior of Graphs, 12.4 Derivatives

axes of symmetry 10.2 The Hyperbola

axis of symmetry 3.2 Quadratic Functions, 3.2 Quadratic Functions, 10.3 The Parabola, 10.3 The Parabola

binomial 3.5 Dividing Polynomials

binomial coefficient 11.6 Binomial Theorem

binomial expansion 11.6 Binomial Theorem, 11.6 Binomial Theorem

Binomial Theorem 11.6 Binomial Theorem

break-even point 9.1 Systems of Linear Equations: Two Variables

cardioid 8.4 Polar Coordinates: Graphs

carrying capacity 4.7 Exponential and Logarithmic Models

Cartesian equation 8.3 Polar Coordinates

Celsius 1.7 Inverse Functions

center of a hyperbola 10.2 The Hyperbola

center of an ellipse 10.1 The Ellipse

central rectangle 10.2 The Hyperbola

change-of-base formula 4.5 Logarithmic Properties, 4.5 Logarithmic Properties

circle 9.3 Systems of Nonlinear Equations and Inequalities: Two Variables, 9.3 Systems of Nonlinear Equations and Inequalities: Two Variables

circular motion 6.1 Graphs of the Sine and Cosine Functions

circumference 5.1 Angles

co-vertex 10.1 The Ellipse

co-vertices 10.1 The Ellipse

coefficient 3.3 Power Functions and Polynomial Functions, 3.6 Zeros of Polynomial Functions

coefficient matrix 9.6 Solving Systems with Gaussian Elimination, 9.6 Solving Systems with Gaussian Elimination, 9.7 Solving Systems with Inverses, 9.7 Solving Systems with Inverses

cofunction 7.2 Sum and Difference Identities

cofunction identities 5.4 Right Triangle Trigonometry, 7.2 Sum and Difference Identities

column 9.5 Matrices and Matrix Operations

column matrix 9.5 Matrices and Matrix Operations

combinations 11.5 Counting Principles, 11.6 Binomial Theorem

combining functions 1.4 Composition of Functions

common base 4.6 Exponential and Logarithmic Equations

common difference 11.2 Arithmetic Sequences, 11.4 Series and Their Notations

common logarithm 4.3 Logarithmic Functions

common ratio 11.3 Geometric Sequences, 11.4 Series and Their Notations

commutative 1.4 Composition of Functions

complement of an event 11.7 Probability

complex conjugate 3.1 Complex Numbers, 3.1 Complex Numbers

Complex Conjugate Theorem 3.6 Zeros of Polynomial Functions

complex number 3.1 Complex Numbers, 8.5 Polar Form of Complex Numbers

complex plane 3.1 Complex Numbers, 8.5 Polar Form of Complex Numbers

composite function 1.4 Composition of Functions

composition of functions 1.4 Composition of Functions

compound interest 4.1 Exponential Functions

compression 2.2 Graphs of Linear Functions, 4.2 Graphs of Exponential Functions, 4.4 Graphs of Logarithmic Functions

conic 10.1 The Ellipse, 10.2 The Hyperbola, 10.5 Conic Sections in Polar Coordinates

conic section 10.4 Rotation of Axes

conic sections 8.6 Parametric Equations

conjugate 12.2 Finding Limits: Properties of Limits

conjugate axis 10.2 The Hyperbola

consistent system 9.1 Systems of Linear Equations: Two Variables

constant of variation 3.9 Modeling Using Variation

constant rate of change 2.3 Modeling with Linear Functions

continuous 3.4 Graphs of Polynomial Functions

continuous function 3.3 Power Functions and Polynomial Functions, 12.3 Continuity

convex limaçons 8.4 Polar Coordinates: Graphs

coordinate plane 10.3 The Parabola

correlation coefficient 2.4 Fitting Linear Models to Data

cosecant 5.3 The Other Trigonometric Functions, 6.2 Graphs of the Other Trigonometric Functions

cosecant function 6.2 Graphs of the Other Trigonometric Functions, 6.2 Graphs of the Other Trigonometric Functions, 6.2 Graphs of the Other Trigonometric Functions, 7.1 Solving Trigonometric Equations with Identities

cosine 7.4 Sum-to-Product and Product-to-Sum Formulas, 7.4 Sum-to-Product and Product-to-Sum Formulas

cosine function 5.2 Unit Circle: Sine and Cosine Functions, 6.1 Graphs of the Sine and Cosine Functions, 6.1 Graphs of the Sine and Cosine Functions, 6.1 Graphs of the Sine and Cosine Functions, 6.1 Graphs of the Sine and Cosine Functions, 6.1 Graphs of the Sine and Cosine Functions

cost function 1.4 Composition of Functions, 9.1 Systems of Linear Equations: Two Variables

cotangent 5.3 The Other Trigonometric Functions, 6.2 Graphs of the Other Trigonometric Functions

cotangent function 6.2 Graphs of the Other Trigonometric Functions, 7.1 Solving Trigonometric Equations with Identities

coterminal angles 5.1 Angles, 5.1 Angles, 5.1 Angles

Cramer’s Rule 9.8 Solving Systems with Cramer's Rule, 9.8 Solving Systems with Cramer's Rule, 9.8 Solving Systems with Cramer's Rule, 9.8 Solving Systems with Cramer's Rule

cube root 3.3 Power Functions and Polynomial Functions

cubic functions 3.8 Inverses and Radical Functions

curvilinear path 8.6 Parametric Equations

damped harmonic motion 7.6 Modeling with Trigonometric Functions, 7.6 Modeling with Trigonometric Functions

De Moivre 8.5 Polar Form of Complex Numbers

De Moivre’s Theorem 8.5 Polar Form of Complex Numbers, 8.5 Polar Form of Complex Numbers

decompose a composite function 1.4 Composition of Functions

decomposition 9.4 Partial Fractions

decreasing function 1.3 Rates of Change and Behavior of Graphs, 2.1 Linear Functions

decreasing linear function 2.1 Linear Functions

degenerate conic sections 10.4 Rotation of Axes

degree 3.3 Power Functions and Polynomial Functions, 5.1 Angles

dependent system 9.1 Systems of Linear Equations: Two Variables, 9.1 Systems of Linear Equations: Two Variables, 9.2 Systems of Linear Equations: Three Variables

dependent variable 1.1 Functions and Function Notation

derivative 12.4 Derivatives, 12.4 Derivatives, 12.4 Derivatives, 12.4 Derivatives, 12.4 Derivatives

Descartes 8.5 Polar Form of Complex Numbers

Descartes’ Rule of Signs 3.6 Zeros of Polynomial Functions

determinant 9.8 Solving Systems with Cramer's Rule, 9.8 Solving Systems with Cramer's Rule, 9.8 Solving Systems with Cramer's Rule

difference quotient 12.4 Derivatives

differentiable 12.4 Derivatives

dimpled limaçons 8.4 Polar Coordinates: Graphs

direct variation 3.9 Modeling Using Variation

directrix 10.3 The Parabola, 10.3 The Parabola, 10.3 The Parabola, 10.3 The Parabola, 10.3 The Parabola, 10.5 Conic Sections in Polar Coordinates, 10.5 Conic Sections in Polar Coordinates, 10.5 Conic Sections in Polar Coordinates, 10.5 Conic Sections in Polar Coordinates, 10.5 Conic Sections in Polar Coordinates

discontinuous 12.3 Continuity

discontinuous function 12.3 Continuity

displacement 5.1 Angles

distance formula 7.2 Sum and Difference Identities, 10.2 The Hyperbola, 10.3 The Parabola

diverges 11.4 Series and Their Notations

dividend 3.5 Dividing Polynomials

Division Algorithm 3.5 Dividing Polynomials, 3.6 Zeros of Polynomial Functions

divisor 3.5 Dividing Polynomials

domain 1.1 Functions and Function Notation, 1.1 Functions and Function Notation, 1.2 Domain and Range, 1.2 Domain and Range, 1.2 Domain and Range, 1.2 Domain and Range, 6.3 Inverse Trigonometric Functions, 6.3 Inverse Trigonometric Functions

domain and range 1.2 Domain and Range, 1.2 Domain and Range

domain of a composite function 1.4 Composition of Functions

dot product 8.8 Vectors

double-angle formulas 7.3 Double-Angle, Half-Angle, and Reduction Formulas, 7.3 Double-Angle, Half-Angle, and Reduction Formulas

doubling time 4.7 Exponential and Logarithmic Models

Dürer 8.4 Polar Coordinates: Graphs

eccentricity 10.5 Conic Sections in Polar Coordinates, 10.5 Conic Sections in Polar Coordinates

electrostatic force 1.3 Rates of Change and Behavior of Graphs

elimination 9.3 Systems of Nonlinear Equations and Inequalities: Two Variables

ellipse 8.7 Parametric Equations: Graphs, 8.7 Parametric Equations: Graphs, 9.3 Systems of Nonlinear Equations and Inequalities: Two Variables, 10.1 The Ellipse, 10.1 The Ellipse, 10.1 The Ellipse, 10.1 The Ellipse, 10.1 The Ellipse, 10.3 The Parabola, 10.5 Conic Sections in Polar Coordinates, 10.5 Conic Sections in Polar Coordinates

ellipsis 11.1 Sequences and Their Notations

end behavior 3.3 Power Functions and Polynomial Functions, 3.7 Rational Functions

endpoint 1.3 Rates of Change and Behavior of Graphs, 5.1 Angles

entry 9.5 Matrices and Matrix Operations

equation 1.1 Functions and Function Notation

Euler 8.5 Polar Form of Complex Numbers

even function 1.5 Transformation of Functions, 5.3 The Other Trigonometric Functions, 5.3 The Other Trigonometric Functions, 7.1 Solving Trigonometric Equations with Identities

even-odd identities 7.1 Solving Trigonometric Equations with Identities, 7.1 Solving Trigonometric Equations with Identities

event 11.7 Probability

experiment 11.7 Probability

explicit formula 11.1 Sequences and Their Notations, 11.1 Sequences and Their Notations, 11.1 Sequences and Their Notations, 11.2 Arithmetic Sequences, 11.3 Geometric Sequences

Exponential decay 4.1 Exponential Functions, 4.1 Exponential Functions, 4.2 Graphs of Exponential Functions, 4.7 Exponential and Logarithmic Models, 4.7 Exponential and Logarithmic Models, 4.7 Exponential and Logarithmic Models, 4.8 Fitting Exponential Models to Data

exponential equation 4.6 Exponential and Logarithmic Equations

exponential function 4.1 Exponential Functions

exponential growth 4.1 Exponential Functions, 4.1 Exponential Functions, 4.2 Graphs of Exponential Functions, 4.7 Exponential and Logarithmic Models, 4.7 Exponential and Logarithmic Models, 4.7 Exponential and Logarithmic Models

extraneous solution 4.6 Exponential and Logarithmic Equations

extrapolation 2.4 Fitting Linear Models to Data

Factor Theorem 3.6 Zeros of Polynomial Functions

factorial 11.1 Sequences and Their Notations

Fahrenheit 1.7 Inverse Functions

feasible region 9.3 Systems of Nonlinear Equations and Inequalities: Two Variables

finite arithmetic sequence 11.2 Arithmetic Sequences

finite sequence 11.1 Sequences and Their Notations

foci 10.1 The Ellipse, 10.1 The Ellipse, 10.1 The Ellipse, 10.2 The Hyperbola

focus 10.1 The Ellipse, 10.3 The Parabola, 10.3 The Parabola, 10.3 The Parabola, 10.3 The Parabola, 10.3 The Parabola, 10.5 Conic Sections in Polar Coordinates, 10.5 Conic Sections in Polar Coordinates, 10.5 Conic Sections in Polar Coordinates, 10.5 Conic Sections in Polar Coordinates

formula 1.1 Functions and Function Notation

function 1.1 Functions and Function Notation, 1.2 Domain and Range

function notation 1.1 Functions and Function Notation

Fundamental Counting Principle 11.5 Counting Principles

Fundamental Theorem of Algebra 3.6 Zeros of Polynomial Functions, 3.6 Zeros of Polynomial Functions

Gauss 8.5 Polar Form of Complex Numbers, 9.2 Systems of Linear Equations: Three Variables, 9.6 Solving Systems with Gaussian Elimination

Gaussian elimination 9.2 Systems of Linear Equations: Three Variables, 9.6 Solving Systems with Gaussian Elimination, 9.6 Solving Systems with Gaussian Elimination

general form 3.2 Quadratic Functions

general form of a quadratic function 3.2 Quadratic Functions

Generalized Pythagorean Theorem 8.2 Non-right Triangles: Law of Cosines

geometric sequence 11.3 Geometric Sequences, 11.4 Series and Their Notations

geometric series 11.4 Series and Their Notations

global maximum 3.4 Graphs of Polynomial Functions

global minimum 3.4 Graphs of Polynomial Functions

gravity 8.7 Parametric Equations: Graphs

half-angle formulas 7.3 Double-Angle, Half-Angle, and Reduction Formulas, 7.3 Double-Angle, Half-Angle, and Reduction Formulas

half-life 4.6 Exponential and Logarithmic Equations, 4.7 Exponential and Logarithmic Models

harmonic motion 7.6 Modeling with Trigonometric Functions

Heaviside method 9.4 Partial Fractions

Heron of Alexandria 8.2 Non-right Triangles: Law of Cosines

Heron’s formula 8.2 Non-right Triangles: Law of Cosines

horizontal asymptote 3.7 Rational Functions, 3.7 Rational Functions, 3.7 Rational Functions

horizontal compression 1.5 Transformation of Functions, 7.5 Solving Trigonometric Equations

horizontal line 2.2 Graphs of Linear Functions

horizontal line test 1.1 Functions and Function Notation

horizontal reflection 1.5 Transformation of Functions

horizontal shift 1.5 Transformation of Functions, 4.2 Graphs of Exponential Functions, 4.4 Graphs of Logarithmic Functions, 6.1 Graphs of the Sine and Cosine Functions

horizontal stretch 1.5 Transformation of Functions

hyperbola 10.2 The Hyperbola, 10.2 The Hyperbola, 10.2 The Hyperbola, 10.2 The Hyperbola, 10.2 The Hyperbola, 10.2 The Hyperbola, 10.2 The Hyperbola, 10.2 The Hyperbola, 10.3 The Parabola, 10.5 Conic Sections in Polar Coordinates, 10.5 Conic Sections in Polar Coordinates

hypotenuse 5.4 Right Triangle Trigonometry

identities 5.2 Unit Circle: Sine and Cosine Functions, 5.3 The Other Trigonometric Functions

identity matrix 9.7 Solving Systems with Inverses, 9.7 Solving Systems with Inverses, 9.7 Solving Systems with Inverses

imaginary number 3.1 Complex Numbers

inconsistent system 9.1 Systems of Linear Equations: Two Variables, 9.1 Systems of Linear Equations: Two Variables, 9.2 Systems of Linear Equations: Three Variables

increasing function 1.3 Rates of Change and Behavior of Graphs, 2.1 Linear Functions

increasing linear function 2.1 Linear Functions

independent system 9.1 Systems of Linear Equations: Two Variables

independent variable 1.1 Functions and Function Notation

index of summation 11.4 Series and Their Notations

inequality 9.3 Systems of Nonlinear Equations and Inequalities: Two Variables

infinite geometric sequence 11.4 Series and Their Notations

infinite sequence 11.1 Sequences and Their Notations

infinite series 11.4 Series and Their Notations

initial point 8.8 Vectors, 8.8 Vectors

initial side 5.1 Angles

inner-loop limaçons 8.4 Polar Coordinates: Graphs

input 1.1 Functions and Function Notation

instantaneous rate of change 12.4 Derivatives

instantaneous velocity 12.4 Derivatives

Intermediate Value Theorem 3.4 Graphs of Polynomial Functions

interpolation 2.4 Fitting Linear Models to Data

intersection 11.7 Probability

interval notation 1.2 Domain and Range, 1.3 Rates of Change and Behavior of Graphs

inverse cosine function 6.3 Inverse Trigonometric Functions

inverse function 1.7 Inverse Functions, 3.8 Inverses and Radical Functions, 3.8 Inverses and Radical Functions

inverse matrix 9.7 Solving Systems with Inverses, 9.7 Solving Systems with Inverses

inverse of a radical function 3.8 Inverses and Radical Functions

inverse of a rational function 3.8 Inverses and Radical Functions

inverse sine function 6.3 Inverse Trigonometric Functions

inverse tangent function 6.3 Inverse Trigonometric Functions

inverse trigonometric functions 6.3 Inverse Trigonometric Functions, 6.3 Inverse Trigonometric Functions, 6.3 Inverse Trigonometric Functions, 6.3 Inverse Trigonometric Functions

inverse variation 3.9 Modeling Using Variation

inverse variations 3.9 Modeling Using Variation

inversely proportional 3.9 Modeling Using Variation

invertible functions 3.8 Inverses and Radical Functions

invertible matrix 9.7 Solving Systems with Inverses, 9.8 Solving Systems with Cramer's Rule

joint variation 3.9 Modeling Using Variation

jump discontinuity 12.3 Continuity

Kronecker 8.5 Polar Form of Complex Numbers

latus rectum 10.3 The Parabola, 10.3 The Parabola, 10.3 The Parabola, 10.3 The Parabola

Law of Cosines 8.2 Non-right Triangles: Law of Cosines, 8.2 Non-right Triangles: Law of Cosines

Law of Sines 8.1 Non-right Triangles: Law of Sines, 8.2 Non-right Triangles: Law of Cosines

leading coefficient 3.3 Power Functions and Polynomial Functions

leading term 3.3 Power Functions and Polynomial Functions

least common denominator (LCD) 12.2 Finding Limits: Properties of Limits

least squares regression 2.4 Fitting Linear Models to Data

left-hand limit 12.1 Finding Limits: Numerical and Graphical Approaches, 12.3 Continuity

lemniscate 8.4 Polar Coordinates: Graphs

limit 12.1 Finding Limits: Numerical and Graphical Approaches, 12.1 Finding Limits: Numerical and Graphical Approaches, 12.1 Finding Limits: Numerical and Graphical Approaches, 12.2 Finding Limits: Properties of Limits, 12.2 Finding Limits: Properties of Limits, 12.2 Finding Limits: Properties of Limits, 12.2 Finding Limits: Properties of Limits, 12.2 Finding Limits: Properties of Limits, 12.2 Finding Limits: Properties of Limits

Linear Factorization Theorem 3.6 Zeros of Polynomial Functions, 3.6 Zeros of Polynomial Functions

linear function 2.1 Linear Functions, 2.3 Modeling with Linear Functions

linear growth 4.1 Exponential Functions

linear model 2.3 Modeling with Linear Functions, 2.4 Fitting Linear Models to Data

linear relationship 2.4 Fitting Linear Models to Data

linear speed 5.1 Angles

local extrema 1.3 Rates of Change and Behavior of Graphs

local maximum 1.3 Rates of Change and Behavior of Graphs, 3.4 Graphs of Polynomial Functions

local minimum 1.3 Rates of Change and Behavior of Graphs, 3.4 Graphs of Polynomial Functions

logarithm 4.3 Logarithmic Functions

logarithmic equation 4.6 Exponential and Logarithmic Equations

logarithmic model 4.8 Fitting Exponential Models to Data

logistic growth model 4.7 Exponential and Logarithmic Models

long division 3.5 Dividing Polynomials

lower limit of summation 11.4 Series and Their Notations

magnitude 1.2 Domain and Range, 1.5 Transformation of Functions, 8.5 Polar Form of Complex Numbers, 8.8 Vectors

main diagonal 9.6 Solving Systems with Gaussian Elimination

major and minor axes 10.1 The Ellipse

major axis 10.1 The Ellipse, 10.1 The Ellipse

marginal cost 12.4 Derivatives

matrix 9.5 Matrices and Matrix Operations, 9.5 Matrices and Matrix Operations, 9.6 Solving Systems with Gaussian Elimination

matrix multiplication 9.5 Matrices and Matrix Operations, 9.7 Solving Systems with Inverses, 9.7 Solving Systems with Inverses

matrix operations 9.5 Matrices and Matrix Operations

maximum value 3.2 Quadratic Functions

measure of an angle 5.1 Angles

midline 6.1 Graphs of the Sine and Cosine Functions, 7.6 Modeling with Trigonometric Functions

minimum value 3.2 Quadratic Functions

minor axis 10.1 The Ellipse

model breakdown 2.4 Fitting Linear Models to Data

modeling 2.3 Modeling with Linear Functions

modulus 1.2 Domain and Range, 8.5 Polar Form of Complex Numbers

Multiplication Principle 11.5 Counting Principles

multiplicative inverse 9.7 Solving Systems with Inverses, 9.7 Solving Systems with Inverses

multiplicative inverse of a matrix 9.7 Solving Systems with Inverses, 9.7 Solving Systems with Inverses

multiplicity 3.4 Graphs of Polynomial Functions, 3.4 Graphs of Polynomial Functions

mutually exclusive events 11.7 Probability

n factorial 11.1 Sequences and Their Notations

natural logarithm 4.3 Logarithmic Functions, 4.6 Exponential and Logarithmic Equations

natural numbers 1.1 Functions and Function Notation

negative angle 5.1 Angles, 5.1 Angles, 5.2 Unit Circle: Sine and Cosine Functions

Newton’s Law of Cooling 4.7 Exponential and Logarithmic Models

nominal rate 4.1 Exponential Functions

non-right triangles 8.1 Non-right Triangles: Law of Sines

nondegenerate conic sections 10.4 Rotation of Axes

nonlinear inequality 9.3 Systems of Nonlinear Equations and Inequalities: Two Variables

nth partial sum 11.4 Series and Their Notations

nth root of a complex number 8.5 Polar Form of Complex Numbers

nth term of the sequence 11.1 Sequences and Their Notations, 11.1 Sequences and Their Notations

oblique triangle 8.1 Non-right Triangles: Law of Sines

odd function 1.5 Transformation of Functions, 5.3 The Other Trigonometric Functions, 5.3 The Other Trigonometric Functions, 7.1 Solving Trigonometric Equations with Identities

one-loop limaçon 8.4 Polar Coordinates: Graphs

one-to-one 3.8 Inverses and Radical Functions, 4.2 Graphs of Exponential Functions, 4.3 Logarithmic Functions, 4.5 Logarithmic Properties, 4.5 Logarithmic Properties

one-to-one function 1.1 Functions and Function Notation, 1.7 Inverse Functions, 6.3 Inverse Trigonometric Functions

opposite side 5.4 Right Triangle Trigonometry

order of magnitude 4.7 Exponential and Logarithmic Models

ordered pair 1.1 Functions and Function Notation, 1.2 Domain and Range

ordered triple 9.2 Systems of Linear Equations: Three Variables

origin 1.6 Absolute Value Functions

outcomes 11.7 Probability

output 1.1 Functions and Function Notation

parabola 3.2 Quadratic Functions, 3.2 Quadratic Functions, 8.7 Parametric Equations: Graphs, 9.3 Systems of Nonlinear Equations and Inequalities: Two Variables, 10.3 The Parabola, 10.3 The Parabola, 10.3 The Parabola, 10.3 The Parabola, 10.3 The Parabola, 10.5 Conic Sections in Polar Coordinates, 10.5 Conic Sections in Polar Coordinates, 10.5 Conic Sections in Polar Coordinates

parallel lines 2.2 Graphs of Linear Functions

parallelograms 8.8 Vectors

parameter 8.6 Parametric Equations

parametric equations 8.6 Parametric Equations, 8.7 Parametric Equations: Graphs, 8.7 Parametric Equations: Graphs

parametric form 8.7 Parametric Equations: Graphs

parent function 4.4 Graphs of Logarithmic Functions

partial fraction 9.4 Partial Fractions

partial fraction decomposition 9.4 Partial Fractions, 9.4 Partial Fractions

Pascal 8.4 Polar Coordinates: Graphs

Pascal's Triangle 11.6 Binomial Theorem

periapsis 10.5 Conic Sections in Polar Coordinates

period 5.3 The Other Trigonometric Functions, 6.1 Graphs of the Sine and Cosine Functions, 6.2 Graphs of the Other Trigonometric Functions, 6.2 Graphs of the Other Trigonometric Functions, 7.5 Solving Trigonometric Equations, 7.6 Modeling with Trigonometric Functions

periodic function 5.3 The Other Trigonometric Functions, 6.1 Graphs of the Sine and Cosine Functions

periodic motion 7.6 Modeling with Trigonometric Functions, 7.6 Modeling with Trigonometric Functions

permutation 11.5 Counting Principles

perpendicular lines 2.2 Graphs of Linear Functions

pH 4.5 Logarithmic Properties

phase shift 6.1 Graphs of the Sine and Cosine Functions

piecewise function 1.2 Domain and Range, 12.3 Continuity, 12.3 Continuity, 12.3 Continuity

piecewise functions 11.1 Sequences and Their Notations

point-slope form 2.1 Linear Functions

point-slope formula 10.2 The Hyperbola

polar axis 8.3 Polar Coordinates

polar coordinates 8.3 Polar Coordinates, 8.3 Polar Coordinates, 8.3 Polar Coordinates, 8.4 Polar Coordinates: Graphs

polar equation 8.3 Polar Coordinates, 8.4 Polar Coordinates: Graphs, 8.4 Polar Coordinates: Graphs, 10.5 Conic Sections in Polar Coordinates

polar form 8.5 Polar Form of Complex Numbers

polar form of a complex number 8.5 Polar Form of Complex Numbers

polar form of a conic 10.5 Conic Sections in Polar Coordinates

polar grid 8.3 Polar Coordinates, 8.3 Polar Coordinates

pole 8.3 Polar Coordinates

polynomial 3.6 Zeros of Polynomial Functions, 12.3 Continuity

polynomial function 3.3 Power Functions and Polynomial Functions, 3.4 Graphs of Polynomial Functions, 3.4 Graphs of Polynomial Functions, 3.4 Graphs of Polynomial Functions

position vector 8.8 Vectors, 8.8 Vectors

positive angle 5.1 Angles, 5.1 Angles

power function 3.3 Power Functions and Polynomial Functions

power rule for logarithms 4.5 Logarithmic Properties, 4.5 Logarithmic Properties

probability 11.7 Probability

probability model 11.7 Probability

product of two matrices 9.5 Matrices and Matrix Operations

product rule for logarithms 4.5 Logarithmic Properties, 4.5 Logarithmic Properties

product-to-sum formulas 7.4 Sum-to-Product and Product-to-Sum Formulas, 7.4 Sum-to-Product and Product-to-Sum Formulas

profit function 9.1 Systems of Linear Equations: Two Variables

properties of determinants 9.8 Solving Systems with Cramer's Rule

properties of limits 12.2 Finding Limits: Properties of Limits

Proxima Centauri 4.7 Exponential and Logarithmic Models

Pythagoras 8.5 Polar Form of Complex Numbers

Pythagorean Identities 7.1 Solving Trigonometric Equations with Identities, 7.1 Solving Trigonometric Equations with Identities

Pythagorean Identity 5.2 Unit Circle: Sine and Cosine Functions, 5.2 Unit Circle: Sine and Cosine Functions, 5.3 The Other Trigonometric Functions, 7.2 Sum and Difference Identities

Pythagorean Theorem 7.3 Double-Angle, Half-Angle, and Reduction Formulas, 7.5 Solving Trigonometric Equations, 8.2 Non-right Triangles: Law of Cosines, 8.7 Parametric Equations: Graphs

quadrantal angle 5.2 Unit Circle: Sine and Cosine Functions

quadratic 9.4 Partial Fractions, 9.4 Partial Fractions

quadratic equation 7.5 Solving Trigonometric Equations

quadratic formula 3.2 Quadratic Functions, 7.5 Solving Trigonometric Equations

quadratic function 3.2 Quadratic Functions, 3.2 Quadratic Functions

quotient 3.5 Dividing Polynomials

quotient identities 7.1 Solving Trigonometric Equations with Identities, 7.1 Solving Trigonometric Equations with Identities

quotient rule for logarithms 4.5 Logarithmic Properties

radian 5.1 Angles, 5.1 Angles, 5.1 Angles

radian measure 5.1 Angles, 5.1 Angles, 5.1 Angles

radical functions 3.8 Inverses and Radical Functions

radiocarbon dating 4.7 Exponential and Logarithmic Models

range 1.1 Functions and Function Notation, 6.3 Inverse Trigonometric Functions

rate of change 1.3 Rates of Change and Behavior of Graphs, 2.3 Modeling with Linear Functions

rational expression 9.4 Partial Fractions, 9.4 Partial Fractions, 9.4 Partial Fractions

rational function 3.7 Rational Functions, 3.7 Rational Functions, 3.7 Rational Functions, 12.2 Finding Limits: Properties of Limits

Rational Zero Theorem 3.6 Zeros of Polynomial Functions, 3.6 Zeros of Polynomial Functions

ray 5.1 Angles

reciprocal 1.7 Inverse Functions, 3.3 Power Functions and Polynomial Functions

reciprocal function 3.7 Rational Functions

reciprocal identities 7.1 Solving Trigonometric Equations with Identities, 7.1 Solving Trigonometric Equations with Identities

reciprocal identity 6.2 Graphs of the Other Trigonometric Functions, 6.2 Graphs of the Other Trigonometric Functions

rectangular coordinates 8.3 Polar Coordinates, 8.3 Polar Coordinates, 8.3 Polar Coordinates

rectangular equation 8.3 Polar Coordinates, 8.6 Parametric Equations

rectangular form 8.5 Polar Form of Complex Numbers, 8.7 Parametric Equations: Graphs

recursive formula 11.1 Sequences and Their Notations, 11.2 Arithmetic Sequences, 11.2 Arithmetic Sequences, 11.3 Geometric Sequences

reduction formulas 7.3 Double-Angle, Half-Angle, and Reduction Formulas, 7.3 Double-Angle, Half-Angle, and Reduction Formulas

reference angle 5.1 Angles, 5.2 Unit Circle: Sine and Cosine Functions, 5.2 Unit Circle: Sine and Cosine Functions, 5.2 Unit Circle: Sine and Cosine Functions, 5.3 The Other Trigonometric Functions

reflection 4.2 Graphs of Exponential Functions, 4.4 Graphs of Logarithmic Functions

regression analysis 4.8 Fitting Exponential Models to Data, 4.8 Fitting Exponential Models to Data, 4.8 Fitting Exponential Models to Data

relation 1.1 Functions and Function Notation

remainder 3.5 Dividing Polynomials

Remainder Theorem 3.6 Zeros of Polynomial Functions

removable discontinuity 3.7 Rational Functions, 3.7 Rational Functions, 12.3 Continuity

Restricting the domain 1.7 Inverse Functions

resultant 8.8 Vectors

revenue function 9.1 Systems of Linear Equations: Two Variables

Richter Scale 4.3 Logarithmic Functions

right triangle 6.3 Inverse Trigonometric Functions

right triangles 5.4 Right Triangle Trigonometry

right-hand limit 12.1 Finding Limits: Numerical and Graphical Approaches, 12.3 Continuity

roots 3.2 Quadratic Functions

rose curve 8.4 Polar Coordinates: Graphs

row 9.5 Matrices and Matrix Operations

row matrix 9.5 Matrices and Matrix Operations

row operations 9.6 Solving Systems with Gaussian Elimination, 9.6 Solving Systems with Gaussian Elimination, 9.6 Solving Systems with Gaussian Elimination, 9.7 Solving Systems with Inverses, 9.7 Solving Systems with Inverses, 9.7 Solving Systems with Inverses, 9.7 Solving Systems with Inverses

row-echelon form 9.6 Solving Systems with Gaussian Elimination, 9.6 Solving Systems with Gaussian Elimination, 9.6 Solving Systems with Gaussian Elimination

row-equivalent 9.6 Solving Systems with Gaussian Elimination

sample space 11.7 Probability

SAS (side-angle-side) triangle 8.2 Non-right Triangles: Law of Cosines

scalar 8.8 Vectors, 9.5 Matrices and Matrix Operations

scalar multiple 8.8 Vectors, 9.5 Matrices and Matrix Operations

Scalar multiplication 8.8 Vectors, 9.5 Matrices and Matrix Operations

scatter plot 2.4 Fitting Linear Models to Data

secant 5.3 The Other Trigonometric Functions, 6.2 Graphs of the Other Trigonometric Functions

secant function 6.2 Graphs of the Other Trigonometric Functions

secant line 12.4 Derivatives

sector of a circle 5.1 Angles

sequence 11.1 Sequences and Their Notations, 11.1 Sequences and Their Notations, 11.2 Arithmetic Sequences, 12.1 Finding Limits: Numerical and Graphical Approaches

series 11.4 Series and Their Notations

set-builder notation 1.2 Domain and Range

sigma 11.4 Series and Their Notations

simple harmonic motion 7.6 Modeling with Trigonometric Functions, 7.6 Modeling with Trigonometric Functions

sine 7.1 Solving Trigonometric Equations with Identities, 7.4 Sum-to-Product and Product-to-Sum Formulas, 7.4 Sum-to-Product and Product-to-Sum Formulas

sine function 5.2 Unit Circle: Sine and Cosine Functions, 5.3 The Other Trigonometric Functions, 6.1 Graphs of the Sine and Cosine Functions, 6.1 Graphs of the Sine and Cosine Functions, 6.1 Graphs of the Sine and Cosine Functions, 6.1 Graphs of the Sine and Cosine Functions, 6.1 Graphs of the Sine and Cosine Functions

sinusoidal function 6.1 Graphs of the Sine and Cosine Functions, 7.6 Modeling with Trigonometric Functions

slope 2.1 Linear Functions, 2.1 Linear Functions

slope of the curve 12.4 Derivatives

slope of the tangent 12.4 Derivatives

slope-intercept form 2.1 Linear Functions

smooth curve 3.3 Power Functions and Polynomial Functions

solution set 9.2 Systems of Linear Equations: Three Variables

solving systems of linear equations 9.1 Systems of Linear Equations: Two Variables

special angles 5.2 Unit Circle: Sine and Cosine Functions, 5.4 Right Triangle Trigonometry, 7.2 Sum and Difference Identities

square matrix 9.5 Matrices and Matrix Operations, 9.8 Solving Systems with Cramer's Rule

SSA (side-side-angle) 8.1 Non-right Triangles: Law of Sines

SSS (side-side-side) triangle 8.2 Non-right Triangles: Law of Cosines

standard form of a quadratic function 3.2 Quadratic Functions

standard position 5.1 Angles, 5.1 Angles, 8.8 Vectors

stepwise function 12.3 Continuity

stretch 4.2 Graphs of Exponential Functions

stretching/compressing factor 6.2 Graphs of the Other Trigonometric Functions, 6.2 Graphs of the Other Trigonometric Functions

substitution method 9.1 Systems of Linear Equations: Two Variables

sum and difference formulas for cosine 7.2 Sum and Difference Identities

sum and difference formulas for sine 7.2 Sum and Difference Identities

sum and difference formulas for tangent 7.2 Sum and Difference Identities

sum-to-product formulas 7.4 Sum-to-Product and Product-to-Sum Formulas, 7.4 Sum-to-Product and Product-to-Sum Formulas

summation notation 11.4 Series and Their Notations

surface area 3.8 Inverses and Radical Functions

symmetry test 8.4 Polar Coordinates: Graphs

synthetic division 3.5 Dividing Polynomials, 3.6 Zeros of Polynomial Functions

system of equations 9.6 Solving Systems with Gaussian Elimination, 9.6 Solving Systems with Gaussian Elimination, 9.6 Solving Systems with Gaussian Elimination, 9.6 Solving Systems with Gaussian Elimination, 9.7 Solving Systems with Inverses

system of linear equations 2.3 Modeling with Linear Functions, 9.1 Systems of Linear Equations: Two Variables, 9.1 Systems of Linear Equations: Two Variables, 9.1 Systems of Linear Equations: Two Variables

system of nonlinear equations 9.3 Systems of Nonlinear Equations and Inequalities: Two Variables

system of nonlinear inequalities 9.3 Systems of Nonlinear Equations and Inequalities: Two Variables

system of three equations in three variables 9.8 Solving Systems with Cramer's Rule

tangent 5.3 The Other Trigonometric Functions, 6.2 Graphs of the Other Trigonometric Functions, 6.2 Graphs of the Other Trigonometric Functions

tangent function 6.2 Graphs of the Other Trigonometric Functions, 6.2 Graphs of the Other Trigonometric Functions, 6.2 Graphs of the Other Trigonometric Functions, 6.2 Graphs of the Other Trigonometric Functions, 7.1 Solving Trigonometric Equations with Identities

tangent line 12.4 Derivatives

term 11.1 Sequences and Their Notations, 11.2 Arithmetic Sequences

term of a polynomial function 3.3 Power Functions and Polynomial Functions

terminal point 8.8 Vectors, 8.8 Vectors

terminal side 5.1 Angles

transformation 1.5 Transformation of Functions

transformations 2.2 Graphs of Linear Functions

translation 10.1 The Ellipse

transverse axis 10.2 The Hyperbola

trigonometric equations 8.6 Parametric Equations

trigonometric functions 5.4 Right Triangle Trigonometry

trigonometric identities 8.2 Non-right Triangles: Law of Cosines

turning point 3.3 Power Functions and Polynomial Functions, 3.4 Graphs of Polynomial Functions

two-sided limit 12.1 Finding Limits: Numerical and Graphical Approaches, 12.4 Derivatives

union of two events 11.7 Probability

unit circle 5.1 Angles, 5.2 Unit Circle: Sine and Cosine Functions, 5.2 Unit Circle: Sine and Cosine Functions, 5.2 Unit Circle: Sine and Cosine Functions, 5.2 Unit Circle: Sine and Cosine Functions, 5.3 The Other Trigonometric Functions, 5.4 Right Triangle Trigonometry, 7.5 Solving Trigonometric Equations

unit vector 8.8 Vectors

upper limit of summation 11.4 Series and Their Notations

upper triangular form 9.2 Systems of Linear Equations: Three Variables

varies directly 3.9 Modeling Using Variation

varies inversely 3.9 Modeling Using Variation

vector 8.8 Vectors

vector addition 8.8 Vectors

velocity 12.4 Derivatives, 12.4 Derivatives

vertex 3.2 Quadratic Functions, 5.1 Angles, 10.1 The Ellipse, 10.1 The Ellipse, 10.3 The Parabola, 10.3 The Parabola

vertex form of a quadratic function 3.2 Quadratic Functions

vertical asymptote 3.7 Rational Functions, 3.7 Rational Functions, 3.7 Rational Functions, 6.3 Inverse Trigonometric Functions

vertical compression 1.5 Transformation of Functions

vertical line 2.2 Graphs of Linear Functions

vertical line test 1.1 Functions and Function Notation

vertical reflection 1.5 Transformation of Functions

vertical shift 1.5 Transformation of Functions, 2.2 Graphs of Linear Functions, 4.2 Graphs of Exponential Functions, 4.4 Graphs of Logarithmic Functions, 4.7 Exponential and Logarithmic Models, 6.1 Graphs of the Sine and Cosine Functions

vertical stretch 1.5 Transformation of Functions, 2.2 Graphs of Linear Functions, 4.4 Graphs of Logarithmic Functions

vertical tangent 12.4 Derivatives

vertices 10.1 The Ellipse, 10.1 The Ellipse

volume of a sphere 3.3 Power Functions and Polynomial Functions

x-intercept 2.2 Graphs of Linear Functions

y-intercept 2.1 Linear Functions, 2.2 Graphs of Linear Functions

zeros 3.2 Quadratic Functions, 3.4 Graphs of Polynomial Functions, 3.4 Graphs of Polynomial Functions, 3.6 Zeros of Polynomial Functions, 8.4 Polar Coordinates: Graphs