College Math Placement Test Functions 2

Question 1

If f(x) = 2x² - 3x + 1, what is f(-2)?

Accepted Answer

15

Answer

f(-2) = 2(4) - 3(-2) + 1 = 8 + 6 + 1 = 15.

Question 2

Which of the following represents a one-to-one function?

Accepted Answer

f(x) = x³

Answer

f(x) = x³ is one-to-one because each output corresponds to exactly one input; the others fail the horizontal line test.

Question 3

Given g(x) = √(x - 4), what is the domain of g?

Accepted Answer

x ≥ 4

Answer

The radicand x - 4 must be ≥ 0, so x ≥ 4.

Question 4

If h(x) = 3x - 5 and h(a) = 7, what is the value of a?

Accepted Answer

4

Answer

3a - 5 = 7 → 3a = 12 → a = 4.

Question 5

Which graph best represents a function with range [0, ∞)?

Accepted Answer

A parabola opening upward with vertex at (0,0)

Answer

A parabola opening upward with vertex at (0,0) has all y-values ≥ 0, giving range [0, ∞).

College Math Placement Test Practice Test