Suppose f(x) lies in the interval (12,18). What is the smallest value of ɛ such that f(x) – 15 <ɛ for all possible values of f(x)? ..... Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The smallest value of ɛ is. (Simplify your answer.) O B. There is no smallest value of ɛ.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 56E
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Suppose f(x) lies in the interval (12,18). What is the smallest value of ɛ such that f(x)- 15 <ɛ for all possible values of f(x)?
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The smallest value of ɛ is
(Simplify your answer.)
O B. There is no smallest value of ɛ.
Transcribed Image Text:Suppose f(x) lies in the interval (12,18). What is the smallest value of ɛ such that f(x)- 15 <ɛ for all possible values of f(x)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The smallest value of ɛ is (Simplify your answer.) O B. There is no smallest value of ɛ.
.2
Let f(x)= x+5 and note that lim f(x) = 5. For each value of ɛ given below, use a graphing utility to find the maximum value of 8 > 0 such that |f(x) - 5|<ɛ whenever 0<|x-0 <8.
(a) = 2
(b) = 1
.....
(a) Choose the correct answer below.
A. 8=2
O B. 8 = 1.414
OC. 8=1.667
O D. There is no such value of 8.
Transcribed Image Text:.2 Let f(x)= x+5 and note that lim f(x) = 5. For each value of ɛ given below, use a graphing utility to find the maximum value of 8 > 0 such that |f(x) - 5|<ɛ whenever 0<|x-0 <8. (a) = 2 (b) = 1 ..... (a) Choose the correct answer below. A. 8=2 O B. 8 = 1.414 OC. 8=1.667 O D. There is no such value of 8.
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