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Lesson: Average Value of a Function

Worksheet • 14 Questions

Q1:

Determine the average value of on the interval .

Q2:

Find the average value of on the interval .

  • A
  • B
  • C
  • D
  • E

Q3:

Find the average value of on the interval .

Q4:

Find the average value of 𝑓 ( π‘₯ ) = π‘₯ ( π‘₯ βˆ’ 5 ) 2 3 2 on the interval [ βˆ’ 1 , 1 ] .

  • A 1 7 2
  • B 5 2 8 8
  • C 1 2 4
  • D 1 1 8
  • E 1 3 6

Q5:

Find the average value of 𝑓 ( π‘₯ ) = √ 2 π‘₯ on the interval [ 0 , 2 ] .

  • A 4 3
  • B 1
  • C 2
  • D 1 6 3
  • E 8 3

Q6:

Find the average value of on the interval .

  • A
  • B0
  • C
  • D
  • E

Q7:

Find the average value of on the interval .

  • A
  • B
  • C
  • D

Q8:

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

  • A
  • B
  • C
  • D135
  • E15

Q9:

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

  1. 𝑓 β€² ( 1 )
  2. the average value of 𝑓 ( π‘₯ ) on 0 ≀ π‘₯ ≀ π‘Ž
  3. the average value of the rate of change of 𝑓 ( π‘₯ ) , for 0 ≀ π‘₯ ≀ π‘Ž
  4. ο„Έ 𝑓 ( π‘₯ ) π‘₯ π‘Ž 0 d
  • AA, C, B, D
  • BA, C, D, B
  • CA, D, C, B
  • DC, D, B, A
  • EB, D, C, A

Q10:

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

  • A
  • B
  • C
  • D180
  • E18

Q11:

Find the average value of 𝑓 ( π‘₯ ) = √ 3 π‘₯ on the interval [ 0 , 3 ] .

  • A 2
  • B 1
  • C 3
  • D 1 8
  • E 6

Q12:

Determine the average value of on the interval .

Q13:

Find the average value of 𝑓 ( π‘₯ ) = π‘₯ ( π‘₯ βˆ’ 3 ) 2 3 2 on the interval [ βˆ’ 2 , 1 ] .

  • A 1 2 2
  • B 3 2 2
  • C 3 5 4 8 4
  • D 9 2 2

Q14:

Find the average value of on the interval .

  • A
  • B
  • C
  • D
  • E
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