Question

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.

Answer 1

(-infinity, 9]

Explanation:

The range of the function is 'all real numbers less than or equal to 9.' We are told that the vertex is at (-2, 9) and that the curve opens downward, which indicates that 9 is the maximum function value, and that the function can take on any value less than or equal to 9.

The domain is 'the set of all real numbers,' which is true for any polynomial.