Find all absolute and relative extreme values of the function f(x) = x – 3x² + 6, on the interval [-1, 1]. O The absolute maximum is f(1) = 4 and the absolute minimum is f(-2) = -14. O The absolute maximum is f(0) = 6 and the absolute minimum is f(-1) = 2. %3D O The absolute maximum is f(1) = 4 and the absolute minimum is f(-1) = 0. O The absolute maximum is f(0) = 6 and the absolute minimum is f(-1) = -14. %3D

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 51E
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Find all absolute and relative extreme values of the function f (x) = x° – 3x² + 6, on the interval [-1, 1].
O The absolute maximum is f(1) = 4 and the absolute minimum is f(-2) = -14.
O The absolute maximum is f(0) = 6 and the absolute minimum is f(-1) = 2.
O The absolute maximum is f(1) = 4 and the absolute minimum is f(-1) = 0.
O The absolute maximum is f(0) = 6 and the absolute minimum is f(-1) = -14.
Transcribed Image Text:Find all absolute and relative extreme values of the function f (x) = x° – 3x² + 6, on the interval [-1, 1]. O The absolute maximum is f(1) = 4 and the absolute minimum is f(-2) = -14. O The absolute maximum is f(0) = 6 and the absolute minimum is f(-1) = 2. O The absolute maximum is f(1) = 4 and the absolute minimum is f(-1) = 0. O The absolute maximum is f(0) = 6 and the absolute minimum is f(-1) = -14.
Find all absolute and relative extreme values of the function f (x) =
2x2 + 5x – 1, on the interval [-4, 0].
O The absolute maximum is f(-1.25) = -4 and the absolute minimum is f(-4) = 11.
%3D
O The absolute maximum is f(-4) = 11 and the absolute minimum is f(-1.25) = -4.
O The absolute maximum is f(-2) = -3 and the absolute minimum is f(-1.25) = -4.
O The absolute maximum is f(-4) = 11 and the absolute minimum is f(-1) = 0.
Transcribed Image Text:Find all absolute and relative extreme values of the function f (x) = 2x2 + 5x – 1, on the interval [-4, 0]. O The absolute maximum is f(-1.25) = -4 and the absolute minimum is f(-4) = 11. %3D O The absolute maximum is f(-4) = 11 and the absolute minimum is f(-1.25) = -4. O The absolute maximum is f(-2) = -3 and the absolute minimum is f(-1.25) = -4. O The absolute maximum is f(-4) = 11 and the absolute minimum is f(-1) = 0.
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