Module 8 - Answers |
Lesson 1 |
Answer 1 |
8.1.1
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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 .
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Answer 3 |
k = 0 |
Answer 4 |
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Answer 5 |
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