Answer
Domain: All real numbers.
Range: $(-\infty , -15]$
Work Step by Step
Given$$ h(x) = -5(x-17)^2 -15.$$ The parabola opens downward as we can see from the graph. Its vertex gives the maximum point. The domain and range are given by:
Domain: All real numbers.
Range: $(-\infty , -15]$.
