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Lesson: Monotonicity of a Function

Worksheet: Monotonicity of a Function • 22 Questions

Q1:

The graph of the first derivative of a continuous function is shown. On what intervals is increasing or decreasing?

  • A is increasing on the intervals and and decreasing on the intervals and .
  • B is increasing on the intervals and and decreasing on the intervals , , and .
  • C is increasing on the intervals and and decreasing on the intervals and .
  • D is increasing on the intervals , , and and decreasing on the intervals and .
  • E is increasing on the intervals and and decreasing on the intervals and .

Q2:

The graph of the first derivative of a continuous function is shown. On what intervals is increasing or decreasing?

  • A is increasing on the intervals and and decreasing on the intervals and .
  • B is increasing on the interval and decreasing on the intervals and .
  • C is increasing on the intervals , , and and decreasing on the intervals and .
  • D is increasing on the intervals and and decreasing on the interval .
  • E is increasing on the intervals and and decreasing on the intervals , , and .

Q3:

Let . Determine the intervals where this function is increasing and where it is decreasing.

  • AThe function is decreasing on and increasing on and .
  • BThe function is decreasing on and and increasing on .
  • CThe function is decreasing on and and increasing on .
  • DThe function is decreasing on and and increasing on .
  • EThe function is decreasing on and increasing on and .

Q4:

Determine the intervals on which the function is increasing and where it is decreasing.

  • Adecreasing over
  • Bincreasing over , decreasing over
  • Cincreasing over
  • Ddecreasing over , increasing over

Q5:

Which of the following statements is true for the function ?

  • AThe function is increasing on.
  • BThe function is increasing on and decreasing on.
  • CThe function is decreasing on.
  • DThe function is decreasing on and increasing on.
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