The function f (x) = - x2 - 2x 15 is shown on the graph. what are the domain and range of the function? a. the domain is all real numbers. the range is y < 16. b. the domain is all real numbers. the range is y. c. the domain is x. the range is y < 16. d. the domain is x. the range is y ≤ 16.

Question

Joey

Mathematics

23 December, 22:51

The function f (x) = - x2 - 2x 15 is shown on the graph. what are the domain and range of the function? a. the domain is all real numbers. the range is y < 16. b. the domain is all real numbers. the range is y. c. the domain is x. the range is y < 16. d. the domain is x. the range is y ≤ 16.

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Haleigh Doyle · Answer 1

-x^2 - 2x + 15 = - (x^2 + 2x - 15) = - (x^2 + 2x + 1 - 15 - 1) = - (x + 1) ^2 - (-15 ' - 1) = - (x + 1) ^2 + 16

Vertex = (-1, 16)

Range = y ≤ 16

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