## Related questions with answers

Question

On which interval is the average rate of change larger: [1, 2] or [2, 3]?

Solutions

VerifiedSolution A

Solution B

Answered 1 year ago

Step 1

1 of 3The average rate of change of a function $f$ over the interval $[x_1,x_2]$ is given by

$\text{ave. rate of change}=\dfrac{f(x_2)-f(x_1)}{x_2-x_1}.$

Step 1

1 of 2Average rate of change on interval [1,2] is given by :

$f'(x) = \dfrac{0.2 - (-0.6)}{1} = 0.8$

Average rate of change on interval [2,3] is given by :

$f'(x) = \dfrac{2.7 - 0.2}{1} = 2.5$

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