2. Consider the function F, that assigns x in its domain to x²-1 F(x)= |x-1| In its domain. a. What is the largest possible domain (D) that is a subset of R? b. Find lim F(x), lim F(x). Does lim F(x) exists? X-1 x-1 c. Sketch the graph of F.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 38E
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2. Consider the function F, that assigns x in its domain to
x² - 1
F(x)
|x-1|
In its domain.
a. What is the largest possible domain (D) that is a subset of R?
b. Find lim F(x), lim F(x). Does lim F(x) exists?
x-1
X-*
x-1
c. Sketch the graph of F.
Transcribed Image Text:2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What is the largest possible domain (D) that is a subset of R? b. Find lim F(x), lim F(x). Does lim F(x) exists? x-1 X-* x-1 c. Sketch the graph of F.
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