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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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  1. Question 1

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

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

    f is an odd function and f(3) = −5. Find f(−3).

    Answer

  3. Question 3

    Is f(x) = 3x⁴ + 5x² + 6 even, odd or neither?

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

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

    Answer

  5. Question 5

    Is f(x) = −3x³ − 4x² − 3 even, odd or neither?

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

    f is an even function and f(3) = −5. Find f(−3).

    Answer

  7. Question 7

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

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

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

    Answer

  9. Question 9

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

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

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

    Answer

  11. Question 11

    Is f(x) = 4x³ − 6x² + 5 even, odd or neither?

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

    f is an even function and f(2) = −1. Find f(−2).

    Answer

  13. Question 13

    Is f(x) = 2x³ − 2x² + 3 even, odd or neither?

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

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

    Answer

  15. Question 15

    Is f(x) = −3x³ + 5x² + 5 even, odd or neither?

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

    f is an odd function and f(5) = −1. Find f(−5).

    Answer

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Answer key: Decide whether a function is even, odd or neither

  1. 1. C. Neither

  2. 2. 5

  3. 3. A. Even

  4. 4. 8

  5. 5. C. Neither

  6. 6. -5

  7. 7. B. Odd

  8. 8. -3

  9. 9. C. Neither

  10. 10. 4

  11. 11. C. Neither

  12. 12. -1

  13. 13. C. Neither

  14. 14. 1

  15. 15. C. Neither

  16. 16. 1