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  3. 6 following is a statement of a theorem which can...

Question: 6 following is a statement of a theorem which can...

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6. Following is a statement of a theorem which can be proven using calculus or precalculus mathematics. For this theorem, a, b, and c are real numbers. Theorem If f is a quadratic function of the form f (x) - ax2 + bx + c and a < 0, then the function f has a maximum value when x -b 2a Using only this theorem, what can be concluded about the functions given by the following formulas? (a) g (x)-8x2 +5x-2 71 99210 (d) j (x)- 99 (e) f (x)--4x2 -3x +7 () F(x)-x4 +x3 + 9 b) h)+3x * (c) k (x) = 8x2-5x-7

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