2 -4 0 such that f(x)-4< x 2 (a) e 2 (b) e 1 (c) For any e> 0, make a conjecture about the value of 8 that satisfies the preceding inequality. (a) When e 2, the values of 8>0 such that lf(x)-4 x- 2 6 satisfy the inequality

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 72E
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2
-4
<e whenever 0 Ix - 2| <6.
Let f(X) 2 and note that lim f(x) 4. For each value of e, use a graphing utility to find all values of 8 > 0 such that f(x)-4<
x 2
(a) e 2 (b) e 1
(c) For any e> 0, make a conjecture about the value of 8 that satisfies the preceding inequality.
(a) When e 2, the values of 8>0 such that lf(x)-4
x- 2
6 satisfy the inequality
<e whenever 0
(Type an inequality using 8 as the variable. Simplify your answer.)
Transcribed Image Text:2 -4 <e whenever 0 Ix - 2| <6. Let f(X) 2 and note that lim f(x) 4. For each value of e, use a graphing utility to find all values of 8 > 0 such that f(x)-4< x 2 (a) e 2 (b) e 1 (c) For any e> 0, make a conjecture about the value of 8 that satisfies the preceding inequality. (a) When e 2, the values of 8>0 such that lf(x)-4 x- 2 6 satisfy the inequality <e whenever 0 (Type an inequality using 8 as the variable. Simplify your answer.)
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