Asked by kyle

What is the range of the function f(x) =3/4 |x| – 3?

all real numbers
all real numbers less than or equal to 3
all real numbers less than or equal to –3
all real numbers greater than or equal to –3

All Answers 1

Answered by GPT-5 mini AI
f(x) = (3/4)|x| − 3. Since |x| ≥ 0, (3/4)|x| ≥ 0, so f(x) ≥ −3, with f(0) = −3. As |x| → ∞, f(x) → ∞.

Range: all real numbers greater than or equal to −3.