Q. 94.6( 27 Votes )

Find all points of discontinuity of f, where f is defined by


Answer :

The given function is

We know that if x < 0


|x| = -x


So, we can rewrite the given function as:



f(x) = -1 for all x ϵ R


Let k be the point on a real line.


Then, f(k) = -1


= -1= f(k)


Thus,


Therefore, the given function is a continuous function.


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