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Question

# Use a graphing utility to graph the function and find its average rate of change over the interval. Compare this rate with the instantaneous rates of change at the endpoints of the interval. f(t)=4t+3; [-3, 1]

Solution

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The given function:

$f(t)=4t+3;\space[-3,1]$

To find the average rate of change of the function over the given interval $[a,b]$, we need to use the formula:

$\text{average rate of change}=\frac{f(b)-f(a)}{b-a}$

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