ACT · Math · Preparing for Higher Math

Functions on the ACT: How to Answer These Questions

Whether you can work with function notation and the behavior of linear, quadratic, exponential and other functions.

How to answer it

  1. Evaluate each function value separately.
  2. Keep negative results in parentheses.
  3. Then combine as the question asks.

Worked example

An original question in the ACT format, already answered.

ACT MathWorked example

g(x) = x² − 4x

What is the value of g(5) − g(1)?

  1. A2
  2. B4
  3. C8
  4. D12

Answer: C. g(5) = 25 − 20 = 5 and g(1) = 1 − 4 = −3. Then 5 − (−3) = 8. Choice A subtracts 3 instead of −3.

The most common trap

Losing a negative sign when subtracting a negative value.

Practice it

Hourly Prep’s daily sets mix functions with the rest of ACT Math, and send more of it your way when it’s a weak spot. See how the ACT prep plan works, or browse the other ACT skill guides.

Primary sources

Keep going

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Practice functions in 15 minutes a day.

Short ACT sets on the test-day screen, with an explanation for every question.

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