Question

The function f(x) = –x2 − 2x + 15 is shown on the graph. What are the domain and range of the function? The domain is all real numbers. The range is y < 16. The domain is all real numbers. The range is y ≤ 16. The domain is –5 < x < 3. The range is y. The domain is x. The range is y ≤ 16.

Answer 1

Answer:b

Explanation:

Answer 2

The domain is all real numbers. The range is y

Explanation:

we have

`f(x)=-x^(2)-2x+15`

This is a the equation of a vertical parabola open downward

The vertex is a maximum

The vertex is the point (-1,16)

see the attached figure

therefore

The domain of the function is all real numbers ----> interval (-∞,∞)

Te range of the function is

`y\leq 16`

All real numbers less than or equal to 16 ----> interval (-∞,16]