Explanation Given information: f ( x ) = { x 2 − 4 x + 2 , i f x ≠ − 2 4 , i f x = − 2 , c = − 2 . Explanation: A function f is continuous at c if, 1) f is defined at c . 2) lim x → c − f ( x ) = f ( c ) 3) lim x → c + f ( x ) = f ( c ) Here, f ( − 2 ) = 4 . That is, f is defined at − 2

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

4th Edition

ISBN: 9780134686974

Author: Michael Sullivan, Michael Sullivan III

Publisher: PEARSON

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Chapter 13, Problem 14RE

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Whether f(x)={x2−4x+2, if x≠−2 4, if x=−2 is continuous at c=−2.

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Chapter 13, Problem 13RE

Chapter 13, Problem 15RE

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Chapter 13 Solutions

Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)

Ch. 13.1 - Graph f( x )={ 3x2ifx2 3ifx=2 (pp.100-102)Ch. 13.1 - If f( x )={ xifx0 1ifx0 what is f( 0 ) ?...Ch. 13.1 - 3. The limit of a function f (x) as x approaches c...Ch. 13.1 - If a function f has no limit as x approaches c,...Ch. 13.1 - True or False may be described by saving that the...Ch. 13.1 - True or False lim xc f( x ) exists and equals some...Ch. 13.1 - Ch. 13.1 - lim x3 ( 2 x 2 +1 )Ch. 13.1 - Ch. 13.1 - lim x0 2x x 2 +4

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Whether f ( x ) = { x 2 − 4 x + 2 , i f x ≠ − 2 4 , i f x = − 2 is continuous at c = − 2 .

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Whether f(x)={x2−4x+2, if x≠−2 4, if x=−2 is continuous at c=−2.

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