6.5 Average Value of a Function

Lecture notes

1. Average Value from a to b:

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

2. Average Rate of Change from a to b:

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} }

3. Link

Examples

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

Solutions

Mr. V solutions:

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