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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