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:

- the average value of on
- 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