(2x² – 4 x < 2 2 < x 5 x 2 5 (c) Determine the values of x for which the function f(x) = }x + 2 is discontinuous.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.3: Polynomials And Special Products
Problem 8ECP: Find the product of x2+3y and x23y.
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(2x² – 4
x + 2
x < 2
2 <x5
x 2 5
(c) Determine the values of x for which the function f(x)
is discontinuous.
Transcribed Image Text:(2x² – 4 x + 2 x < 2 2 <x5 x 2 5 (c) Determine the values of x for which the function f(x) is discontinuous.
Expert Solution
Step 1

Consider the given function:

fx=2x2-4x<2x+22<x<57x5

There are two critical points here to analyze.

x=2&x=5

Continuity of a function is checked by finding the following relation:

limxa- fx=limxa+ fx=fa

 

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