13. Sketch a graph of a rational function that satisfies the following conditionsТextf(0) = 0, f(-4) = 2, f(4) = -2f(x) is undefined for x =+2yopf'(-4) = f '(0) = f (4) = 0f (x)< 0 for x < -4, x > 4f '(x)> 0 for -4 < x< -2, -2 0 for x <-2, 0 26

1. If f''(x) > 0 , f(x) is concave upward. 2. If f''(x) > 0 , f(x) is concave downward. 3.…

13. Sketch a graph of a rational function that satisfies the following conditions Text f(0) = 0, f(-4) = 2, f(4) = -2 f(x) is undefined for x =+ 2 y f'(-4) = f "(0) = f '(4) = 0 f '(x)<0 for x < -4, x > 4 f'(x)> 0 for -4 0 for x <-2, 0 2 4

13. Sketch a graph of a rational function that satisfies the following conditions Text f(0) = 0, f(-4) = 2, f(4) = -2 f(x) is undefined for x =+ 2 y f'(-4) = f "(0) = f '(4) = 0 f '(x)<0 for x < -4, x > 4 f'(x)> 0 for -4 0 for x <-2, 0 2 4

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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Question

13. Sketch a graph of a rational function that satisfies the following conditions
Тext
f(0) = 0, f(-4) = 2, f(4) = -2
f(x) is undefined for x =+2
y
op
f'(-4) = f '(0) = f (4) = 0
f (x)< 0 for x < -4, x > 4
f '(x)> 0 for -4 < x< -2, -2 <x < 0 and
0 <x<2, 2 < 4
X
f "(0) = 0
f “(x) > 0 for x <-2, 0<x<2
f "(x)< 0 for -2<x<0, x > 2
6

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