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Lesson: Concavity and Points of Inflection

In this lesson, we will learn how to determine the concavity of the functions and inflection points from that test.

Worksheet: Concavity and Points of Inflection • 25 Questions

Q1:

Determine the intervals on which is concave up and concave down.

  • A The function is concave up on the interval and concave down on the interval .
  • B The function is concave up on the interval and concave down on the interval .
  • C The function is concave up on the interval and concave down on the interval .
  • D The function is concave up on the interval and concave down on the interval .
  • E The function is concave up on the interval and concave down on the interval .

Q2:

Determine the intervals on which the function is concave up and down.

  • A The function is concave up on and and concave down on and .
  • B The function is concave up on and and concave down on and .
  • C The function is concave up on and and concave down on and .
  • D The function is concave up on and and concave down on and .
  • E The function is concave up on and and concave down on and .

Q3:

Determine the intervals on which the function is concave up and down.

  • A The function is concave down on and concave up on .
  • B The function is concave down on and concave up on .
  • C The function is concave down on and concave up on .
  • D The function is concave down on and and concave up on .
  • E The function is concave down on and concave up on .
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