PSAT Math Multiple-Choice Question 419: Answer and Explanation

Question: 419

The figure shown above represents the function Which statement about the function is NOT true?

• A. q(0) = 0
• B. q(2) = 4
• C. The range of q(x) is y ≥ 0.
• D. The domain of q(x) is x ≥ 0.

Correct Answer: B

Explanation:

B

Difficulty: Medium

Getting to the Answer: Compare each answer choice, one at a time, to the graph. Be careful—you're looking for the statement that is NOT true, so cross out true statements as you go. The statement in (A) is true (and therefore not correct) because at x = 0, y is also 0. For (B), when x = 2, q(x), or y, is somewhere between 1 and 2, not equal to 4, so this statement is NOT true, making (B) the correct answer. For the record, the statements in (C) and (D) are both true because the x-values (domain) and y-values (range) are all greater than or equal to 0.