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Bluebook SAT Math: Advanced Functions Questions and Answers Flashcards

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

Read the first 7 Bluebook SAT Math: Advanced Functions Questions and Answers flashcards as text

  1. The function f(x) = (x - 1)(x + 3) has x-intercepts at:

    Answer: x = 1 and x = -3

    Setting each factor to zero: x - 1 = 0 gives x = 1, and x + 3 = 0 gives x = -3.

  2. If f(x) = √(x + 4), what is the domain of f?

    Answer: x ≥ -4

    The radicand must be non-negative: x + 4 ≥ 0, so x ≥ -4.

  3. A function f satisfies f(2) = 5 and f(5) = 11. If f is linear, what is f(8)?

    Answer: 17

    The slope is (11-5)/(5-2) = 2, so each step of 3 adds 6; f(8) = 11 + 6 = 17.

  4. If g(x) = x² + bx + c has a vertex at (3, -4), what is the value of b?

    Answer: -6

    The vertex x-coordinate is -b/(2a) = 3, so -b/2 = 3, giving b = -6.

  5. For f(x) = |x - 2| + 1, which statement is true?

    Answer: The minimum value of f is 1

    Since |x - 2| ≥ 0, the minimum occurs when |x - 2| = 0 (at x = 2), giving f(2) = 1.

  6. If f(x) = 2x - 4 and g(x) = x/2 + 2, then f(g(x)) =

    Answer: x

    f(g(x)) = 2(x/2 + 2) - 4 = x + 4 - 4 = x, showing g is the inverse of f.

  7. Which transformation maps y = x² onto y = (x + 2)² - 5?

    Answer: Shift left 2, down 5

    Replacing x with (x + 2) shifts left 2; subtracting 5 shifts down 5.