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Exercises Functions

Example 7 from Algebra and Trigonometry, 3.1 Functions and Function Notation

Evaluating Functions

Given the function $h (p) = p^{2} + 2 p,$ evaluate $h (4) .$

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
To evaluate $h (4),$ we substitute the value 4 for the input variable $p$ in the given function.

$\begin{array}{l} h(p)=p^{2}+2p \\ h(4)={(4)}^{2}+2(4) \\ = 16 + 8 \\ = 24 \end{array}$
Therefore, for an input of 4, we have an output of 24.

Your turn

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

Given the function $g (m) = \sqrt{m - 4},$ evaluate $g (5) .$

How did it go?

PreviousEvaluating Functions at Specific Values Next Solving Functions

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.