   Chapter 1.4, Problem 110E

Chapter
Section
Textbook Problem

True or False? In Exercises 105-110. determine whether the statement is true or false. If it is false, explain why or give an example that shows it is false.The function f ( x ) = | x − 1 | x − 1 is continuous on ( − ∞ ,   ∞ ) .

To determine
Whether the statement, “The function, f(x)=|x1|x1 is continuous on (,)” is true or false.

Explanation

Consider the provided function,

f(x)=|x1|x1

Put the denominator equals to 0 to obtain the discontinuous points of a rational function.

So,

x1=0x=1

Since, the function is discontinuous at x=1

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