Average Rate of Change Interval and Increasing and Decreasing Table

On what interval is the average rate of change positive?

• (-1,1) & (3,4)

• (-3,-2)

• (-3, 0) U (2, 4)

• (-1, 1) U ( 3, 4)

Over what intervals is the average rate of change decreasing?

• (-∞, 1)

• (0, 2)

• (-1, ∞)

• (-∞, 2)

The slope can also be called...

• the function

• the rate of change

• increasing

• positive

Calculate the average rate of change from 20 to 40 minutes.

• -2 minutes per gallon

• -20 minutes per gallon

• -2 gallons per minute

• -20 gallons per minute

Find the average rate of change on the interval (0, 3). 

• 4

• 7

• 7/3

• 3/7

What is the average rate of change of [1, 5]?

• -0.65

• -0.75

• 3.75

• 4

The Jamison family kept a log of the distance they traveled during a trip, as represented by the graph below. During which interval was their average speed the greatest?

• the first hour to the second hour

• the second hour to the fourth hour

• the sixth hour to the eighth hour

• the eighth hour to the tenth hour

The table below shows the snowfall in a north-eastern city in inches for the first week in January.

Find the average rate of change in the number of inches of snowfall from January 8 to January 11.

• 2/3 in.

• 2 in.

• 3 in.

• 6 in.

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

• 2

• 1/2

• -2

• -1/2

Determine if the data in the table is best represented by a linear or quadratic function, and why.

• LINEAR, because the rate of change over consecutive equal-length input-value intervals is constant.

• QUADRATIC, because the rate of change over consecutive equal-length input-value intervals is constant.

• LINEAR, because the change in the rates of change over consecutive equal-length input-value intervals is constant.

• QUADRATIC, because the change in the rates of change over consecutive equal-length input-value intervals is constant.