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

Solution

To evaluate 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(4) } , we substitute the value 4 for the input variable 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 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