SOLUTION: Find the domain and range of the function f(x)=-2x^2-13x+16

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Question 912827: Find the domain and range of the function f(x)=-2x^2-13x+16
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Convert to vertex form,
f%28x%29=-2%28x%5E2%2B%2813%2F2%29x%29%2B16
f%28x%29=-2%28x%5E2%2B%2813%2F2%29x%2B%2813%2F4%29%5E2%29%2B16%2B2%2813%2F4%29%5E2
f%28x%29=-2%28x%2B%2813%2F4%29%29%5E2%2B256%2F16%2B338%2F16
f%28x%29=-2%28x%2B%2813%2F4%29%29%5E2%2B594%2F16
f%28x%29=-2%28x%2B%2813%2F4%29%29%5E2%2B297%2F8
Since -2%3C0, the parabola opens downwards and the value at the vertex is the maximum value.
Domain : (-infinity,infinity)
Range : (-infinity,297%2F8]