15
QuizMultiple Choice

Comparing Characteristics of Functions

Question 15 • VA-Mathematical Analysis

Which function has the greatest x-intercept?

Answer
A
f(x) = 3x – 9
B
g(x) = |x + 3|
C
h(x) = 2x – 16
D
j(x) = –5(x – 2)2

Explanation

An x-intercept occurs where the function equals 0. For A, 3x − 9 = 0 gives x = 3; for B, |x + 3| = 0 gives x = −3; and for C, 2x − 16 = 0 gives x = 8. Choice D has x-intercept 2 because −5(x − 2)² = 0 when x = 2. The greatest x-intercept is 8, so the answer is C, h(x) = 2x − 16.

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