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
The function f(x) = 2(x - 1)² + 3 has its vertex at:
Answer: (1, 3)
In vertex form f(x) = a(x - h)² + k, the vertex is (h, k) = (1, 3).
If f(x) = x² and g(x) = x - 2, what is (f ∘ g)(5)?
Answer: 9
(f ∘ g)(5) = f(g(5)) = f(3) = 3² = 9.
Which function has a horizontal asymptote at y = 0?
Answer: f(x) = 3/x
As x → ±∞, 3/x → 0, so the horizontal asymptote is y = 0.
If f(x) = 2ˣ, what is the value of f(-3)?
Answer: 1/8
f(-3) = 2⁻³ = 1/2³ = 1/8.
A function f is defined as f(x) = x² - 6x + 9. What is the simplified form?
Answer: (x - 3)²
x² - 6x + 9 is a perfect square trinomial equal to (x - 3)².
If f(x) = 5 for all x, which statement is true?
Answer: f is a constant function with range {5}
A function that outputs the same value for every input is a constant function with range {5}.
The function f(x) = x³ passes through the point (2, n). What is n?
Answer: 8
f(2) = 2³ = 8, so n = 8.