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Decide whether a function is even, odd or neither

12th grade (Year 13 in England) · 16 questions · Common Core: HSF.BF.B.3 · England: A-level Pure Mathematics

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Date

Score/ 16

  1. Question 1

    Is f(x) = −2x³ + 2x even, odd or neither?

    • A. Even
    • B. Odd
    • C. Neither
  2. Question 2

    f is an even function and f(1) = −3. Find f(−1).

    Answer

  3. Question 3

    Is f(x) = x⁴ − 2x² + 1 even, odd or neither?

    • A. Even
    • B. Odd
    • C. Neither
  4. Question 4

    f is an even function and f(4) = −6. Find f(−4).

    Answer

  5. Question 5

    Is f(x) = 5x³ + 5x² − 5 even, odd or neither?

    • A. Even
    • B. Odd
    • C. Neither
  6. Question 6

    f is an even function and f(4) = −8. Find f(−4).

    Answer

  7. Question 7

    Is f(x) = −5x³ + 6x² + 5 even, odd or neither?

    • A. Even
    • B. Odd
    • C. Neither
  8. Question 8

    f is an odd function and f(3) = −2. Find f(−3).

    Answer

  9. Question 9

    Is f(x) = −x³ − 4x² + 4 even, odd or neither?

    • A. Even
    • B. Odd
    • C. Neither
  10. Question 10

    f is an even function and f(1) = −7. Find f(−1).

    Answer

  11. Question 11

    Is f(x) = 5x⁴ + x² + 3 even, odd or neither?

    • A. Even
    • B. Odd
    • C. Neither
  12. Question 12

    f is an odd function and f(2) = −2. Find f(−2).

    Answer

  13. Question 13

    Is f(x) = 3x³ − 6x even, odd or neither?

    • A. Even
    • B. Odd
    • C. Neither
  14. Question 14

    f is an even function and f(2) = 5. Find f(−2).

    Answer

  15. Question 15

    Is f(x) = −x³ + 2x even, odd or neither?

    • A. Even
    • B. Odd
    • C. Neither
  16. Question 16

    f is an even function and f(6) = 1. Find f(−6).

    Answer

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  1. Odd
  2. -3
  3. Even
  4. -6
  5. Neither
  6. -8
  7. Neither
  8. 2
  9. Neither
  10. -7
  11. Even
  12. 2
  13. Odd
  14. 5
  15. Odd
  16. 1