6.5 Average Value of a Function

Lecture notes

1. Average Value:

$f_{\text{avg}}={\frac {1}{b-a}}\int _{a}^{b}f(x)\,dx$

2. Average Rate of Change:

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://en.wikipedia.org/api/rest_v1/":): {\displaystyle \text{slope} = m = \frac{f(b)-f(a)}{b-a} }

https://tutorial.math.lamar.edu/classes/calci/avgfcnvalue.aspx

Examples

https://tutorial.math.lamar.edu/Problems/CalcI/AvgFcnValue.aspx

Solutions

Mr. V solutions:

1 3 5 7 15