5) Show that the function f(x)=-÷+1 below is continuous at x = -1. x-1 2- -3 -1- -2 1.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter4: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 3CC: If xis large, which function grows faster, f(x)=2x or g(x)=x2?
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5) Show that the function f(x)=-÷+1 below is continuous at x = -1.
x-1
2-
-3
-1-
-2
1.
Transcribed Image Text:5) Show that the function f(x)=-÷+1 below is continuous at x = -1. x-1 2- -3 -1- -2 1.
Expert Solution
Step 1:

A function f(x) is continuous at x=c if 

Calculus homework question answer, step 1, image 1

We have to show that

Calculus homework question answer, step 1, image 2

is continuous at x=-1. 

Step 2: Calculate f(-1) from the graph

f(-1) = 2 from the graph 

 

Calculus homework question answer, step 2, image 1

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