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Polynomial functions

12th grade (Year 13 in England) · 16 questions · Common Core: HSA.APR.B.3, HSF.IF.C.7.C

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  1. Question 1

    Describe the end behaviour of f(x) = 2x⁴ + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  2. Question 2

    f(x) = −(x + 5)(x + 1)(x + 4). Find all the zeros of f, separated by commas.

    x =

  3. Question 3

    Describe the end behaviour of f(x) = 2x² + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  4. Question 4

    f(x) = 2(x)(x − 5)(x + 3). Find all the zeros of f, separated by commas.

    x =

  5. Question 5

    Describe the end behaviour of f(x) = −x³ + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  6. Question 6

    f(x) = (x + 5)(x − 4)(x − 1). Find all the zeros of f, separated by commas.

    x =

  7. Question 7

    Describe the end behaviour of f(x) = 2x³ + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  8. Question 8

    f(x) = 2(x + 2)(x)(x + 3). Find all the zeros of f, separated by commas.

    x =

  9. Question 9

    Describe the end behaviour of f(x) = x⁵ + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  10. Question 10

    f(x) = −(x + 3)(x − 3)(x + 4). Find all the zeros of f, separated by commas.

    x =

  11. Question 11

    Describe the end behaviour of f(x) = 2x² + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  12. Question 12

    f(x) = 2(x − 3)(x − 2)(x + 3). Find all the zeros of f, separated by commas.

    x =

  13. Question 13

    Describe the end behaviour of f(x) = −3x⁵ + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  14. Question 14

    f(x) = 2(x − 6)(x + 6)(x + 3). Find all the zeros of f, separated by commas.

    x =

  15. Question 15

    Describe the end behaviour of f(x) = 2x² + 3x − 1.

    • A. Up on the left, up on the right
    • B. Down on the left, down on the right
    • C. Down on the left, up on the right
    • D. Up on the left, down on the right

  16. Question 16

    f(x) = −(x − 5)(x)(x + 1). Find all the zeros of f, separated by commas.

    x =

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Answer key: Polynomial functions

  1. 1. A. Up on the left, up on the right

  2. 2. x = -5 or x = -4 or x = -1

  3. 3. A. Up on the left, up on the right

  4. 4. x = -3 or x = 0 or x = 5

  5. 5. D. Up on the left, down on the right

  6. 6. x = -5 or x = 1 or x = 4

  7. 7. C. Down on the left, up on the right

  8. 8. x = -3 or x = -2 or x = 0

  9. 9. C. Down on the left, up on the right

  10. 10. x = -4 or x = -3 or x = 3

  11. 11. A. Up on the left, up on the right

  12. 12. x = -3 or x = 2 or x = 3

  13. 13. D. Up on the left, down on the right

  14. 14. x = -6 or x = -3 or x = 6

  15. 15. A. Up on the left, up on the right

  16. 16. x = -1 or x = 0 or x = 5