Math  /  Algebra

QuestionFind the max or min of the function: f(x)=x23x+3f(x)=-x^{2}-3x+3.

Studdy Solution
Therefore, the vertex of the parabola is (32,154)(\frac{3}{2}, -\frac{15}{4}). Since the coefficient of x2x^{2} is negative, the parabola opens downwards, and the vertex is the maximum point.
The maximum value of the function f(x)=x23x+3f(x)=-x^{2}-3x+3 is 154-\frac{15}{4}.

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