Chapter 10.5, Problem 36E

(a)

To determine

The average rate of change of function f in interval $\left[0,200\right]$ from the graph and choose the correct options.

The options are:

A) Greater than

B) Less than

C) Approximately equal to

The instantaneous rate of change at $x=100$

The graph provided is:

(b)

To determine

The average rate of change of function f in interval $\left[0,200\right]$ from the graph and choose the correct options.

The options are:

(A) Greater than

(B) Less than

(C) Approximately equal to

The instantaneous rate of change at $x=150$

The graph provided is:

(c)

To determine

The instantaneous rate of change of function f in interval $\left[0,50\right]$ from the graph and choose the correct options.

The options are:

(A) Increasing then Decreasing

(B) Decreasing then Increasing

(C) Increasing

(D) Decreasing

The graph provided is:

(d)

To determine

The instantaneous rate of change of function f in interval $\left[0,200\right]$ from the graph and choose the correct options.

The options are:

(A) Always positive

(B) Always negative

(C) Negative, positive and then negative

The graph provided is:

(e)

To determine

The value of $f^{\prime }\left(100\right)$ from the graph and choose the correct options.

The options are:

(A) Greater than $f^{\prime }\left(25\right)$

(B) Less than $f^{\prime }\left(25\right)$

(C) Approximately equal to $f^{\prime }\left(25\right)$

The graph provided is: