Skills · Functions · Function Fundamentals

Evaluating function notation

Printable practice with an answer key the engine computes, at three levels, in as many versions as you need.

Problem types

Sample Sheet · Level 1

  1. g(x) = 2x + 2: g(6) =
  2. h(x) = 2x − 3: h(−3) =
  3. f(x) = 4x + 1: f(−6) =
  4. g(x) = 2x − 8: g(−5) =
  5. g(x) = 3x + 9: g(1) =
  6. f(x) = 3x − 8: f(6) =
  7. g(x) = 3x − 5: g(−5) =
  8. g(x) = 4x + 5: g(−4) =

Answer key

  1. 14
  2. −9
  3. −23
  4. −18
  5. 12
  6. 10
  7. −20
  8. −11

Sample Sheet · Level 3

  1. h(x) = −4x − 3: h(−1) =
  2. h(x) = 6x − 2: h(−4) =
  3. f(x) = 6x − 7: x when f(x) = −31
  4. f(x) = −2x + 4, g(x) = 5x + 8: f(5) + g(6) =
  5. g(x) = −4x − 7: x when g(x) = −39
  6. h(x) = x² − 4x − 6: h(−3) =
  7. f(x) = −4x − 8, g(x) = 2x + 5: f(2) − g(−2) =
  8. g(x) = x² − 5x + 8: g(−2) =

Answer key

  1. 1
  2. −26
  3. x = −4
  4. 32
  5. x = 8
  6. 15
  7. −17
  8. 22

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