JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

Let

f\left( x \right) = \left\{ {\begin{array}{cccccccccccccccccccc} {x\left| x \right|,}&{x \leqslant - 1} \\ {\left[ {x + 1} \right] + \left[ {1 - x} \right],}&{ - 1 < x < 1} \\ {x\left| x \right|,}&{x \geqslant 1} \end{array}} \right.

Where [ ] represents the greatest integer function. Then

f(x)

View answer and explanation

Correct option: A

Even

Option A (Even) is correct because f(-x) = f(x) for all x in the domain, satisfying the condition for an even function.

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