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Let f(x) = x|x|. (a) Sketch the graph of the function. 2 y У 4 2 2 y 4 2 y X y X J -4 -2 -2 2 -4 -2 -2 x 2 -4 -2 -2 -4 -4 -2 -2 2 (b) For what values of x is f differentiable? Ox<0 ○ x = 0 all real x (c) Find a formula for f'. f'(x) =

Let f(x) = x|x|. (a) Sketch the graph of the function. 2 y У 4 2 2 y 4 2 y X y X J -4 -2 -2 2 -4 -2 -2 x 2 -4 -2 -2 -4 -4 -2 -2 2 (b) For what values of x is f differentiable? Ox<0 ○ x = 0 all real x (c) Find a formula for f'. f'(x) =

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 11E
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Let f(x) = x|x|. (a) Sketch the graph of the function. 2 y У 4 2 2 y 4 2 y X y X J -4 -2 -2 2 -4 -2 -2 x 2 -4 -2 -2 -4 -4 -2 -2 2 (b) For what values of x is f differentiable? Ox<0 ○ x = 0 all real x (c) Find a formula for f'. f'(x) =
Transcribed Image Text:Let f(x) = x|x|. (a) Sketch the graph of the function. 2 y У 4 2 2 y 4 2 y X y X J -4 -2 -2 2 -4 -2 -2 x 2 -4 -2 -2 -4 -4 -2 -2 2 (b) For what values of x is f differentiable? Ox<0 ○ x = 0 all real x (c) Find a formula for f'. f'(x) =
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