# Find All Points of Discontinuity Of F, Where F Is Defined by F(X) = {(X/|X|, If X < 0),(-1, If X >= 0 - Mathematics

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

f(x) = {(x/|x|, ","if x < 0),(-1, ","if x >= 0):}

#### Solution

The given function f is f(x) = {(x/|x|, ","if x < 0),(-1, ","if x >= 0):}

It is known that, x < 0 => |x| = -x

Therefore, the given function can be rewritten as

Therefore, the given function is a continuous function.

Hence, the given function has no point of discontinuity.

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#### APPEARS IN

NCERT Class 12 Maths
Chapter 5 Continuity and Differentiability
Q 9 | Page 159