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 –5 ≤ x ≤ 3. The range is y.

Answer 1

option B

Explanation:

Answer 2

The function is a parabola which opens downwards.
-x^2 - 2x + 15
-(x^2 + 2x) + 15
= -[(x + 1)^2 - 1 ]+ 15
= -(x + 1)^2 + 16

The domain is all real numbers and the range is y
Its the second choice.