g(x)= -3x^2 - 18x - 25
a.) Does the funtion have a maximum or minimum value?
b.) Where does the minimum or maximum value occur?
c.) What is the functions minimum or maximum value?
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Since the coefficient of x² is negative (-3) the function has
1. a maximum value
2. Completing the square gives f (x) = -3(x + 3)² + 2
So the maximum value occurs when x + 3 = 0, that is when x = -3
3. The maximum value is f(-3) = 0 + 2 = 2
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