Answer
Domain: All real numbers.
Range: $(-\infty , 25]$
Work Step by Step
Given$$ s(t) = -0.25(t+50)^2 +25.$$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: $(-\infty , 25]$.