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Sketch the graph of a function that satisfies all of the given conditions.$f^{\prime}(1)=f^{\prime}(-1)=0, \quad f^{\prime}(x)<0$ if $|x|<1$$f^{\prime}(x)>0$ if $1<|x|<2, \quad f^{\prime}(x)=-1$ if $|x|>2$$f^{\prime \prime}(x)<0$ if $-2 < x<0, \quad$ inflection point $(0,1)$

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Calculus 1 / AB

Chapter 4

APPLICATIONS OF DIFFERENTIATION

Section 3

Derivatives and the Shapes of Graphs

Derivatives

Differentiation

Applications of the Derivative

Campbell University

Harvey Mudd College

Baylor University

University of Nottingham

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one off the function satisfy offload off the conditions in this problem, looks like this eso First, we have a two critical points. Why is the local maximum the winds? Low commitment at X equals two minus one. The X equals one. And according to the program and coins up question when X is less than minus two and a greater and two We have this straight when I sew, labeled by some red red red color. So most of these are straighten eyes and we have a one year inflection points here. So only the left is concave down and always right to come. Keep up. Um, so this is one off The example Satisfy off the conditions in the program.

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