Average Rate of Change Interval and Increasing and Decreasing Table

The figure shows the graph of a function. 

Which of the following statements is correct?

• the rate of change is positive and increasing

• the rate of change is positive is decreasing

• the rate of change is negative and increasing

• the rate of change is negative and decreasing

The figure shows the graph of a function. 

Which of the following statements is correct?

• the function is decreasing at a decreasing rate

• the function is decreasing at a increasing rate

• the function is increasing at a decreasing rate

• the function is increasing at a increasing rate

The graph of the function f is shown in the figure. The extrema for f are labeled where A, B, C, D, and E represent the x-coordinates at those points. On which of the following intervals is the rate of change of f positive and decreasing?

• 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 graph of the function f is shown in the figure. The extrema for f are labeled where A, B, C, D, and E represent the x-coordinates at those points. On which interval is the rate of change of f negative and decreasing?

• the interval from A to B

• the interval from B to C

• the interval from C to D

• the interval from D to E

Find the average rate of change over the interval [-2 , 4].

Type your answer as a fraction.