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Question

Mathematics Question on Functions

The point(s) at which function f is given by f(x)={xx;x<0 1;x0}f(x)={\begin{Bmatrix}\frac{x}{|x|};x\lt0 \\\ -1; x\geq0\end{Bmatrix}} is continuous is/are

A

x∈R

B

x=0

C

x∈R\{0}

D

-1 and 1

Answer

x∈R

Explanation

Solution

The correct answer is(A): x∈R