# Worksheet: The Average Value of a Function

In this worksheet, we will practice calculating the average value of a function, also known as the mean, for continuous functions over intervals.

Q1:

The average value of on the interval is 0. Find all possible values of .

• A or
• B or
• C or
• D or

Q2:

Find all such that equals the average value of over the interval .

• A ,
• B5,
• C ,
• D ,

Q3:

Find the average value of on the interval .

• A
• B
• C
• D
• E

Q4:

Find the average value of on the interval .

• A
• B
• C
• D
• E

Q5:

What is the average value of this function on the interval ?

• A15
• B
• C135
• D
• E

Q6:

Find the average value of on the interval .

• A
• B
• C
• D
• E

Q7:

Determine the average value of on the interval .

Q8:

Find the average value of on the interval .

• A
• B
• C
• D
• E

Q9:

Using the figure, arrange the following from least to greatest:

1. the average value of on
2. the average value of the rate of change of , for
• AB, D, C, A
• BA, D, C, B
• CC, D, B, A
• DA, C, B, D
• EA, C, D, B

Q10:

Find the average value of on the interval .

• A
• B
• C
• D

Q11:

Find the average value of on the interval .

• A
• B
• C
• D
• E0

Q12:

Find the average value of on the interval .

Q13:

Find all such that equals the average value of over the interval .

• A
• B
• C
• D
• E