Module 8 - Answers
 
Lesson 1
 
 Answer 1
 
8.1.1

 
Lesson 2
 
 Answer 1
 
8.2.1 The discontinuity is called an infinite discontinuity because and .
 
Lesson 3
 
 Answer 1
 
8.3.1 The value of the function at x = 2 is given by 2(2) + 1 =5. Therefore, the second piece of the function should approach 5 as x approaches 2.

Letting k = 3 will make the function continuous at x = 2.

 
 
 Answer 2
 
8.3.2 The second piece would be shifted up, creating a jump discontinuity.
 
 
 Answer 3
 
8.3.3 The left hand limit is 5. The right hand limit is 9.
 
 
Self Test
 
 Answer 1
 

II and III

 
 Answer 2
 

A removable discontinuity (a hole) exists and the hole can be seen in a zoom decimal window at .

 
 Answer 3
 
k = 0
 
 Answer 4
 

 

 
 Answer 5
 
 

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