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Exercises Functions

Example 11 from Algebra and Trigonometry, 3.1 Functions and Function Notation

Evaluating and Solving a Tabular Function

Using Table 11,
ⓐ Evaluate $g (3) .$
ⓑ Solve $g (n) = 6.$

$n$	1	2	3	4	5
$g (n)$	8	6	7	6	8

Table 11

Work it out on paper first. Then open the solution one step at a time, and stop as soon as you can finish on your own.

Solution
ⓐ Evaluating $g (3)$ means determining the output value of the function $g$ for the input value of $n = 3.$ The table output value corresponding to $n = 3$ is 7, so $g (3) = 7.$
ⓑ Solving $g (n) = 6$ means identifying the input values, $n,$ that produce an output value of 6. Table 11 shows two solutions: $2$ and $4.$

$n$ 1 2 3 4 5

$g (n)$ 8 6 7 6 8

When we input 2 into the function $g,$ our output is 6. When we input 4 into the function $g,$ our output is also 6.

Your turn

The book's Try It right after this example: same idea, new numbers. Only the answer is given.

Using [link], evaluate $g (1) .$

How did it go?

PreviousExpressing the Equation of a Circle as a Function Next Reading Function Values from a Graph

From Algebra and Trigonometry (1st edition) by OpenStax (Rice University), section 3.1, licensed under CC BY 4.0. Original at openstax.org. We split the solution into steps; the words, numbers and figures are the book's. OpenStax doesn't endorse this site.