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

Answer:

(-infinity, 9]

Step-by-step 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.

Answer 2

Answer:

the graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.

On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 0.5, 6.75), and goes through (1, 0).

The vertex is the maximum value.

The axis of symmetry is x = negative one-half.

The domain is all real numbers.

The range is all real numbers.

The function is decreasing from (−∞, 6.75).

Step-by-step explanation: