Difference between revisions of "Function Evaluation"
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'''Example''' | '''Example''' | ||
| − | + | ||
| + | Given the function <math> h(p) = p^2 + 2p </math>, evaluate <math> h(4) </math>. | ||
| + | |||
| + | '''Solution''' | ||
To evaluate <math> h(4) </math>, we substitute the value 4 for the input variable <math>p</math> in the given function. | To evaluate <math> h(4) </math>, we substitute the value 4 for the input variable <math>p</math> in the given function. | ||
| − | + | <math> \begin{align} | |
h(p) & = p^2 + 2p\\ | h(p) & = p^2 + 2p\\ | ||
h(4) & = (4)^2 + 2(4) \\ | h(4) & = (4)^2 + 2(4) \\ | ||
& = 16 + 8 \\ | & = 16 + 8 \\ | ||
& = 24 \\ | & = 24 \\ | ||
| − | \end{align} </math | + | \end{align} </math> |
| Line 21: | Line 24: | ||
* [https://www.youtube.com/watch?v=E9YEUQR9NAU Evaluating Functions], Khan Academy | * [https://www.youtube.com/watch?v=E9YEUQR9NAU Evaluating Functions], Khan Academy | ||
* [https://courses.lumenlearning.com/waymakercollegealgebra/chapter/evaluate-and-solve-functions/ Evaluating and Solving Functions], Lumen Learning | * [https://courses.lumenlearning.com/waymakercollegealgebra/chapter/evaluate-and-solve-functions/ Evaluating and Solving Functions], Lumen Learning | ||
| + | |||
| + | == Licensing == | ||
| + | Content obtained and/or adapted from: | ||
| + | * [https://courses.lumenlearning.com/waymakercollegealgebra/chapter/evaluate-and-solve-functions/ Evaluating and Solving Functions, Lumen] under a CC BY-SA license | ||
Latest revision as of 15:01, 12 January 2022
- HOW TO: EVALUATE A FUNCTION GIVEN ITS FORMULA
- Replace the input variable in the formula with the value provided.
- 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 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.
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 \begin{align} h(p) & = p^2 + 2p\\ h(4) & = (4)^2 + 2(4) \\ & = 16 + 8 \\ & = 24 \\ \end{align} }
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
