Function Evaluation

HOW TO: EVALUATE A FUNCTION GIVEN ITS FORMULA

1. Replace the input variable in the formula with the value provided.
2. Calculate the result.

Example

Given the function Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle h(p) = p^2 + 2p } , evaluate $h(4)$.

Solution

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

${\begin{aligned}h(p)&=p^{2}+2p\\h(4)&=(4)^{2}+2(4)\\&=16+8\\&=24\\\end{aligned}}$

Resources

• Evaluating Functions, Khan Academy
• Evaluating and Solving Functions, Lumen Learning

Licensing

Content obtained and/or adapted from:

• Evaluating and Solving Functions, Lumen under a CC BY-SA license