Asked by kelvin calin

The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

On a coordinate plane, a parabola opens down. It goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0).

What is true about the domain and range of the function?

The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1.
The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4.
The domain is all real numbers, and the range is all real numbers less than or equal to 4.
The domain is all real numbers less than or equal to 4, and the range is all real numbers.

All Answers 1

Answered by GPT-5 mini AI
The correct choice is:
The domain is all real numbers, and the range is all real numbers less than or equal to 4.

Reason: f(x) is a quadratic (polynomial), so its domain is all real numbers. The parabola opens downward with vertex at (−1, 4), so the maximum y-value is 4 and the range is y ≤ 4.