PSAT Math Multiple-Choice Question 794: Answer and Explanation

Question: 794

Consider the function f(x) = 2x – 3. What is the range of the absolute value of this function?

• A. y < -3
• B. y ≤ 0
• C. y ≥ 0
• D. y > 5

Correct Answer: C

Explanation:

(C) This question is asking you to determine the range of the following function:
g(x) = |2x - 3|
Because the entire function is inside an absolute value symbol, g(x), which is the range, cannot be negative. Therefore, the answer is choice (C).