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Bluebook SAT Math: Advanced Functions 1 Flashcards

6 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 6 Bluebook SAT Math: Advanced Functions 1 flashcards as text

  1. If f(x) = x² + 6x + 5, which of the following is equivalent to f(x)?

    Answer: (x + 1)(x + 5)

    Factoring x² + 6x + 5 requires two numbers that multiply to 5 and add to 6. Those numbers are 1 and 5, giving (x + 1)(x + 5).

  2. If f(x) = 2x - 3 and g(x) = x + 4, what is g(f(x))?

    Answer: 2x + 1

    g(f(x)) = g(2x - 3) = (2x - 3) + 4 = 2x + 1. Substitute f(x) into g(x) and simplify.

  3. The function p(x) = -x² + 4x - 1. What is the maximum value of p(x)?

    Answer: 3

    The vertex x-coordinate is -b/(2a) = -4/(2·(-1)) = 2. Then p(2) = -(4) + 8 - 1 = 3. Since the parabola opens downward, this is the maximum.

  4. If f(x) = x² - 9, for which values of x does f(x) = 0?

    Answer: x = 3 and x = -3

    Setting x² - 9 = 0 gives x² = 9, so x = ±3. Both values satisfy the equation.

  5. A function is defined as h(x) = 3^(x-1). What is h(3)?

    Answer: 9

    h(3) = 3^(3-1) = 3² = 9.

  6. If f(x) = |x - 5| + 2, what is the minimum value of f(x)?

    Answer: 2

    The absolute value |x - 5| is always ≥ 0, reaching its minimum of 0 when x = 5. At that point f(5) = 0 + 2 = 2, so the minimum value is 2.