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Math: Functions Flashcards

7 cards from real ACT practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

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  1. What is the range of f(x) = x^2 + 4?

    Answer: y >= 4

    Since x^2 is at least 0, the minimum value is 4.

  2. If f(x) = 5x and f(a) = 35, what is a?

    Answer: 7

    5a = 35 means a = 7.

  3. The function f(x) = 2^x is evaluated at x = 3. What is the result?

    Answer: 8

    2^3 = 8.

  4. If f(x) = |x - 4|, what is f(1)?

    Answer: 3

    |1 - 4| = |-3| = 3.

  5. Which of these represents a function?

    Answer: {(1,2),(2,3),(3,4)}

    Each x-value maps to exactly one y-value only in the first set.

  6. If f(x) = x + 2 and g(x) = 3x, what is (g + f)(2)?

    Answer: 10

    f(2) = 4 and g(2) = 6, so the sum is 10.

  7. What is the y-intercept of f(x) = 3x - 6?

    Answer: -6

    Setting x = 0 gives f(0) = -6.