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Function Notation Practice Worksheet

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Function Notation Practice Worksheet

For each function, replace the input variable with the value in parentheses, then simplify. Show your work where space is provided.

Read and Evaluate Functions

1.If g(x) = 3x, what is g(5)?
  • 8
  • 15
  • 53
  • 125
2.Given h(x) = x - 7, find h(12).
  • 5
  • 19
  • 84
  • -5
3.For p(x) = 2x + 4, calculate p(6).
4.A function is defined by r(x) = 20 - 3x. What is r(4)?
5.Which expression correctly represents the rule “add 9 to the input,” using function name a?
  • a(x) = 9x
  • a(x) = x + 9
  • a(x) = x - 9
  • a(x) = 9 - x

Write and Use Function Rules

6.Write function notation for the rule that multiplies an input x by 6 and then subtracts 2. Use the function name f.
7.Complete the outputs for t(x) = x + 5.

Input: 0

Output: _____

Input: 3

Output: _____

Input: 10

Output: _____

8.Match each function value with its result. Use each result once.
  • u(x) = 4x; find u(3)
  • v(x) = x + 11; find v(2)
  • w(x) = 24 ÷ x; find w(4)
  • z(x) = 3x - 1; find z(2)
  • 13
  • 12
  • 6
  • 5
9.A bike rental costs $7 for each hour. Write a function C(h) for the cost of renting a bike for h hours.
10.A bike rental costs $7 per hour. What is the cost for 4 hours?
11.A game score function is s(x) = 2x + 3, where x is the number of completed levels. Explain what s(5) = 13 tells you.

2 printable pages

  • Function notation practice: interpreting rules, evaluating functions, and completing an input-output table.

    Page 1

  • Function notation practice: writing rules, matching function values, and solving cost and score problems.

    Page 2

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