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Evaluate and compare two functions

9th grade (Year 10 in England) · 16 questions · Common Core: HSF.IF.A.2 · England: GCSE Higher Algebra

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Date

Score/ 16

  1. Question 1

    f(x) = 2x² + x. Find f(2 + 1) − f(2).

    Answer

  2. Question 2

    f(x) = 5x and g(x) = x² − 2. Find f(0) + g(2).

    Answer

  3. Question 3

    f(x) = 4x + 7 and g(x) = −5x − 2. For which x is f(x) = g(x)?

    x =

  4. Question 4

    f(x) = 2x² + x. Find f(2 + 1) − f(2).

    Answer

  5. Question 5

    f(x) = −4x − 2 and g(x) = x² + 3. Find f(2) − g(3).

    Answer

  6. Question 6

    f(x) = −4x − 9 and g(x) = 2x + 9. For which x is f(x) = g(x)?

    x =

  7. Question 7

    f(x) = x² + 4x. Find f(−3 + 1) − f(−3).

    Answer

  8. Question 8

    f(x) = 5x − 8 and g(x) = x² + 4. Find f(4) − g(2).

    Answer

  9. Question 9

    f(x) = −5x − 4 and g(x) = −3x + 6. For which x is f(x) = g(x)?

    x =

  10. Question 10

    f(x) = 2x² − x. Find f(−3 + 1) − f(−3).

    Answer

  11. Question 11

    f(x) = −2x − 2 and g(x) = x² + 1. Find f(2) − g(−2).

    Answer

  12. Question 12

    f(x) = −2x + 8 and g(x) = −4x + 18. For which x is f(x) = g(x)?

    x =

  13. Question 13

    f(x) = x² − x. Find f(2 + 1) − f(2).

    Answer

  14. Question 14

    f(x) = −4x + 4 and g(x) = x². Find f(1) + g(−3).

    Answer

  15. Question 15

    f(x) = 5x + 6 and g(x) = −4x − 48. For which x is f(x) = g(x)?

    x =

  16. Question 16

    f(x) = 2x² − 3x. Find f(−3 + 1) − f(−3).

    Answer

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  1. 11
  2. 2
  3. x = -1
  4. 11
  5. -22
  6. x = -3
  7. -1
  8. 4
  9. x = -5
  10. -11
  11. -11
  12. x = 5
  13. 4
  14. 9
  15. x = -6
  16. -13