Mathematics
SariSakoda586
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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|y < 16}. The domain is all real numbers. The range is {y|y ≤ 16}. The domain is {x|–5 < x < 3}. The range is {y|y < 16}. The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.

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(1) Answers
Czarny333

Since the function is a parabola and there are no discontinuities, the domain is all real numbers. To determine the range, the function has to be transformed into the vertex form. The vertex form of the function is: f(x) = -(x+1)2 +16 This means that the graph is facing downwards with the vertex at (-1,16). So, the range is {y|y ≤ 16}

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