Testing for Increasing and Decreasing Functions In Exercises 5-8, show that the function is increasing and decreasing on the given open intervals. See Example 1. 5. y = -x; increasing on (-00, 0); decreasing on (0, o0) 6. y = x* + 1; decreasing on (-0o, 0); increasing on (0, co) 7. y = (x – 2)²; decreasing on (-00, 2); increasing on (2, o0) 8. y = x'; increasing on (–0o, 00)

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 84E
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5.6.8

Testing for Increasing and Decreasing
Functions In Exercises 5-8, show that the
function is increasing and decreasing on the
given open intervals. See Example 1.
5. y = -x; increasing on (-0, 0); decreasing on (0, 0)
6. y = x + 1; decreasing on (-00, 0); increasing on (0, o)
7. y = (x – 2)2; decreasing on (-00, 2); increasing on (2, c0)
8. y = x; increasing on (-0, 00)
Transcribed Image Text:Testing for Increasing and Decreasing Functions In Exercises 5-8, show that the function is increasing and decreasing on the given open intervals. See Example 1. 5. y = -x; increasing on (-0, 0); decreasing on (0, 0) 6. y = x + 1; decreasing on (-00, 0); increasing on (0, o) 7. y = (x – 2)2; decreasing on (-00, 2); increasing on (2, c0) 8. y = x; increasing on (-0, 00)
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