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Worksheet: Moving from Average Rates of Change to Instantaneous Rates of Change

Q1:

What is the average rate of change function for the function ?

  • A
  • B
  • C
  • D

Q2:

Determine the average rate of change function for when changes from to .

  • A
  • B
  • C
  • D

Q3:

Find the average rate of change of when varies from 1.3 to 2.

Q4:

For a function , the rate of change at a fixed is . Given that , find when .

Q5:

The average rate of change of a function between and is . Compute this quantity for at , and for .

Q6:

If the function , find .

  • A
  • B
  • C
  • D
  • E

Q7:

If the function , find .

  • A
  • B
  • C
  • D9
  • E

Q8:

If the function , find .

  • A
  • B
  • C
  • D
  • E

Q9:

If the function , find .

  • A
  • B
  • C
  • D12
  • E

Q10:

If the function , find .

  • A
  • B
  • C
  • D28
  • E

Q11:

If the function , find .

  • A
  • B
  • C
  • D4
  • E