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Problem 12: Given the diagram below, please answer the following questions.

 

 

12a.  Is the function continuous at x = -3?

12b.  Is the function continuous at x = -2?

12c.  Is the function continuous at x = 2?

 Apr 16, 2019
 #1
avatar+5089 
+1

the function is discontinous at x=-3

 

the function is continuous at x=-2

 

the function has a removable discontinuity at x=2, and is thus discontinuous there

 Apr 16, 2019
 #2
avatar+100571 
+2

To be continuous....we have to be able to "trace" the function without picking up our pencil

 

12a  not continuous at  x = -3

 

12b  continuous ta x = -2

 

12c  not continuous at x = 2

 

 

cool cool cool

 Apr 16, 2019

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