Chapter 3.5, Problem 36E

A function f has the following graph.

a. The average rate of change of f over $\left[0,200\right]$

is

(A) greater than

(B) less than

(C) approximately equal to the instantaneous rate of change at $x=100$.

b. The average rate of change of f over $\left[0,200\right]$

is

(A) greater than

(B) less than

(C) approximately equal to the instantaneous rate of change $x=150$.

c. Over the interval $\left[0,50\right]$ theinstantaneous rate of change of f is

(A) increasing, then decreasing.

(B) decreasing, then increasing.

(C) always increasing.

(D) always decreasing.

d. Over the interval $\left[0,200\right]$ theinstantaneous rate of change of f is

(A) always positive.

(B) always negative.

(C) negative, positive, and then negative.

e. $f\text{'}\left(100\right)$

is

(A) greater than $f\text{'}\left(100\right)$.

(B) less than $f\text{'}\left(25\right)$.

(C) approximately equal to $f\text{'}\left(25\right)$.