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. The domain is all real nu…

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]