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Lesson: Concavity and Points of Inflection

Worksheet: Concavity and Points of Inflection • 25 Questions

Q1:

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

  • AThe function is concave up on the interval and concave down on the interval .
  • BThe function is concave up on the interval and concave down on the interval .
  • CThe function is concave up on the interval and concave down on the interval .
  • DThe function is concave up on the interval and concave down on the interval .
  • EThe 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.

  • AThe function is concave up on and and concave down on and .
  • BThe function is concave up on and and concave down on and .
  • CThe function is concave up on and and concave down on and .
  • DThe function is concave up on and and concave down on and .
  • EThe function is concave up on and and concave down on and .

Q3:

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

  • AThe function is concave down on and concave up on .
  • BThe function is concave down on and and concave up on .
  • CThe function is concave down on and concave up on .
  • DThe function is concave down on and concave up on .
  • EThe function is concave down on and concave up on .

Q4:

Determine the intervals on which is concave up and down.

  • AThe function is concave down on the interval and up on the interval .
  • BThe function is concave down on the interval and up on the interval .
  • CThe function is concave down on the interval and up on the interval .
  • DThe function is concave down on the interval and up on the interval .
  • EThe function is concave down on the interval and up on the interval .

Q5:

Determine where is concave up and/or where it is concave down.

  • AThe function is concave down on the interval .
  • BThe function is concave up on the interval .
  • CThe function is concave down on the interval .
  • DThe function is concave down on the interval .
  • EThe function is concave up on the interval .
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