Explanation Consider the function, f ( x ) = | x − 2 | This function is a composition of two functions: g ( x ) = | x | And h ( x ) = x − 2 Here, f ( x ) = g ( h ( x ) ) = g ∘ h ( x ) The function f is defined on all of ℝ

6th Edition

ISBN: 9781465208880

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Chapter 2, Problem 65SP

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To decide: if the function f(x)=|x−2| is continuous on the interval [−5,5] .

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Chapter 2, Problem 64SP

Chapter 2, Problem 66SP

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Chapter 2 Solutions

Calculus

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To decide: if the function f ( x ) = | x − 2 | is continuous on the interval [ − 5 , 5 ] .

Solution Summary: The author explains that the function f is defined on all of R. Since, composite of two continuous functions is always a continuous function.

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To decide: if the function f(x)=|x−2| is continuous on the interval [−5,5] .

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Chapter 2 Solutions