1. (a) Let e be some positive number. Show that |r- 4| <+ 13r – 12| < « (b) Assume that g(x) is a function given by 2r? + 3x +2 g(x) - 1² +2 Prove that g(z) is bounded for all |r| < 2. (c) Using the (e- 6) definition, show that f(r) = 3r –1 is continuous at point I= 1.
1. (a) Let e be some positive number. Show that |r- 4| <+ 13r – 12| < « (b) Assume that g(x) is a function given by 2r? + 3x +2 g(x) - 1² +2 Prove that g(z) is bounded for all |r| < 2. (c) Using the (e- 6) definition, show that f(r) = 3r –1 is continuous at point I= 1.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 50HP
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Question
![1. (a) Let e be some positive number. Show that
|r – 4| < + 13r – 12| < e
(b) Assume that g(x) is a function given by
2r2 + 3r + 2
g(x)
1² + 2
Prove that g(x) is bounded for all |r| < 2.
(c) Using the (e- 8) definition, show that f(r) = 3r -1 is continuous at point
* = 1.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3fb599a6-eaac-4cc1-902d-f8fb6dc45ead%2F8c1b13bd-d361-49c4-a0f0-2b5d9d8ad6b6%2Fpcb6ord_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. (a) Let e be some positive number. Show that
|r – 4| < + 13r – 12| < e
(b) Assume that g(x) is a function given by
2r2 + 3r + 2
g(x)
1² + 2
Prove that g(x) is bounded for all |r| < 2.
(c) Using the (e- 8) definition, show that f(r) = 3r -1 is continuous at point
* = 1.
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