Changes (in tandem and rate of) Review

The figure shows the graph of a function f. The extrema and the point of inflection of f are labeled.  A, B, C, D, and E represent the x-coordinates at those points.  Of the following, on which interval is f decreasing and the graph of f concave up?

• the interval from A to B

• the interval from B to C

• the interval from C to D

• the interval from D to E

• The function g is increasing at an increasing rate.

• The function g is increasing at an decreasing rate.

• The function g is decreasing at an increasing rate.

• The function g is decreasing at an decreasing rate.

The graph of a function p is shown in the figure. Which of the following best describes the rate of change of p?

• The rate of change of p is positive and increasing.

• The rate of change of p is positive and decreasing.

• The rate of change of p is negative and increasing.

• The rate of change of p is negative and decreasing.

The figure shows the graph of a function g. The extrema for g are labeled, and the point of inflection of the graph of g is labeled. A, B, C, D and E represent the x-coordinate at those points. Of the following, on which intervals is the rate of change of g decreasing?

• the interval from A to B

• the interval from B to C

• the interval from A to C

• the interval from B to D

The figure shows the graph of a function h. Which of the following statements about h is true?

• The function h is negative.

• The function h is increasing.

• The rate of change of h is positive.

• The rate of change of h is increasing.

The graph of the function h is shown in the figure. The extrema for h are labeled where A, B, C, D, and E represent the x-coordinate at those points. What are all the intervals of x on which h is decreasing?

• the interval from A to B and the interval from C to D

• the interval from B to C only

• the interval from D to E only

• the interval from B to C and the interval from D to E