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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 ƒ 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 (d) j (x) = - x²+210 1 99 * (b) h (x) = - x² + 3x 3 (e) f(x) = -4x² - 3x + 7 * (c) k (x) = 8x2-5x-7 (f) F(x) = == −x x3 x4 +x³ +9

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 ƒ 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 (d) j (x) = - x²+210 1 99 * (b) h (x) = - x² + 3x 3 (e) f(x) = -4x² - 3x + 7 * (c) k (x) = 8x2-5x-7 (f) F(x) = == −x x3 x4 +x³ +9

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 50E
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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 ƒ 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 (d) j (x) = - x²+210 1 99 * (b) h (x) = - x² + 3x 3 (e) f(x) = -4x² - 3x + 7 * (c) k (x) = 8x2-5x-7 (f) F(x) = == −x x3 x4 +x³ +9
Transcribed Image Text: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 ƒ 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 (d) j (x) = - x²+210 1 99 * (b) h (x) = - x² + 3x 3 (e) f(x) = -4x² - 3x + 7 * (c) k (x) = 8x2-5x-7 (f) F(x) = == −x x3 x4 +x³ +9
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