Finding a symmetric interval The function f in the figure satisfies s lim f1x2 = 5. For each value of e, find all values of xS4 d 7 O such that |f1x2 - 51 6 e whenever 0 6 lx - 4| 6 d. a. e = 2 c. For any e 7 0, make a conjecture about the corresponding val- ues of d satisfying (3). b. e = 1 y A 7 6. 5+ 4 1+ 1 3 4 5 6 7 X 2. 3. 2.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 53E
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Finding a symmetric interval The function f in the figure
satisfies
s lim f1x2 = 5. For each value of e, find all values of
xS4
d 7 O such that
|f1x2 - 51 6 e whenever 0 6 lx - 4| 6 d.
a. e = 2
c. For any e 7 0, make a conjecture about the corresponding val-
ues of d satisfying (3).
b. e = 1
y A
7
6.
5+
4
1+
1
3
4
5 6 7 X
2.
3.
2.
Transcribed Image Text:Finding a symmetric interval The function f in the figure satisfies s lim f1x2 = 5. For each value of e, find all values of xS4 d 7 O such that |f1x2 - 51 6 e whenever 0 6 lx - 4| 6 d. a. e = 2 c. For any e 7 0, make a conjecture about the corresponding val- ues of d satisfying (3). b. e = 1 y A 7 6. 5+ 4 1+ 1 3 4 5 6 7 X 2. 3. 2.
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