Question
Show that a constant function $f(x)=b$ has an average rate of change of $0 .$ Compute the average rate of change of $y=\sqrt{4-x^{2}}$ on the interval $[-2,2] .$ Explain how this can happen.
Step 1
Step 1: The average rate of change of a function $f(x)$ over an interval $[a, b]$ is given by the formula $\frac{f(b) - f(a)}{b - a}$. Show more…
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