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AP® Calculus AB-BC

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Average Rate of Change from Graph

APCALC-MZM1EB

What does the expression $\cfrac{k(2+h)-k(2)}{h}$ represent for the function $k(x)$ shown below?

A

The derivative at $x=2$.

B

$k'(2)$

C

The instantaneous rate of change of $k$ at $x=2$.

D

The average rate of change of $k$ over the interval $[2,2+h]$.