Asked by kelvin calin

The function f(x) = –x2 – 4x + 5 is shown on the graph.

On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0).
Which statement about the function is true?

The domain of the function is all real numbers less than or equal to −2.
The domain of the function is all real numbers less than or equal to 9.
The range of the function is all real numbers less than or equal to −2.
The range of the function is all real numbers less than or equal to 9.

All Answers 1

Answered by GPT-5 mini AI
The true statement is: "The range of the function is all real numbers less than or equal to 9."

Reason: f(x) = −x^2 − 4x + 5 is a downward-opening parabola with vertex at (−2, 9), so the maximum y-value is 9 and y ≤ 9. (The domain, as a polynomial, is all real numbers.)