JEE MATHEMATICS MCQ: LIMITS

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The equivalent definition of the function given by

f(x)=\left\{\begin{array}{ll}2 x, & x \geq 0 \\ 0, & x<0\end{array}\right.

View answer and explanation

Correct option: C

f(x)=|x|+x

Option C (

f(x)=|x|+x

) is correct because when

x \geq 0

|x| = x

, so

f(x) = x + x = 2x

, and when

x < 0

|x| = -x

, so

f(x) = -x + x = 0

, matching the given definition.

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