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Concavity and inflection points Quiz: printable

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Concavity and inflection points Quiz

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10 questions. Calculator allowed. Show your working. steplyclass.com/calculus-1/concavity-and-inflection-points/quiz/

  1. 1

    Concavity and inflection points of f(x) = x3 โˆ’ 3x2

    Answer: ____________________

  2. 2

    Concavity and inflection points of f(x) = x3 โˆ’ 3x

    Answer: ____________________

  3. 3

    Concavity and inflection points of f(x) = โˆ’x3 + 6x2

    Answer: ____________________

  4. 4

    Concavity and inflection points of f(x) = x3 โˆ’ 6x2 + 9x + 1

    Answer: ____________________

  5. 5

    Concavity and inflection points of f(x) = x3 โˆ’ 9x2 + 24x

    Answer: ____________________

  6. 6

    Concavity and inflection points of f(x) = โˆ’x3 + 3x2 + 4

    Answer: ____________________

  7. 7

    Inflection points of f(x) = x4 โˆ’ 6x2

    Answer: ____________________

  8. 8

    Inflection points of f(x) = x4 โˆ’ 6x2 + 5

    Answer: ____________________

  9. 9

    Inflection points of f(x) = x4 โˆ’ 4x3

    Answer: ____________________

  10. 10

    Inflection points of f(x) = x4 + 4x3

    Answer: ____________________

Answer key

  1. (1, โˆ’2)
  2. (0, 0)
  3. (2, 16)
  4. (2, 3)
  5. (3, 18)
  6. (1, 6)
  7. (โˆ’1, โˆ’5), (1, โˆ’5)
  8. (โˆ’1, 0), (1, 0)
  9. (0, 0), (2, โˆ’16)
  10. (โˆ’2, โˆ’16), (0, 0)

Every answer solved step by step: steplyclass.com/calculus-1/concavity-and-inflection-points/quiz/answers/