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. The domain is all real numbers. The range is y ≤ 16. The domain is –5 < x < 3. The range is y < 16. The domain is –5 ≤ x ≤ 3. The range is y. Mark this and return Save and Exit Next

Answer 1

The domain is all real numbers and the range is y

Its the second choice.

Explanation:

took the test on edge, hope it helps!

Answer 2

The domain is all real numbers. The range is y ≤ 16.

Explanation:

The vertex of a parabola is given by

`((-b)/(2a), (4ac-b^2)/(4a))`.

As a = -1, b = -2, c= 15 here, then the vertex is at (1,16).

As a is negative, it opens downward, so the range is y.

Meanwhile, all parabolic functions have a domain of
`\mathbb{R}`.