JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

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Analyzing +4 | -1

Let

f\left( x \right) = \left\{ {\begin{array}{cccccccccccccccccccc} {\begin{array}{cccccccccccccccccccc} {0,\;\;\;x = 0}\\ {{x^2}\sin \pi /2x,\;\;\;\left| x \right| < 1} \end{array}}\\ {x\left| x \right|,\;\;\;\left| x \right| \ge 1} \end{array}} \right..

Then,

f\left( x \right)

View answer and explanation

Correct option: B

An odd function

The correct answer is B (An odd function) because f(-x) = -f(x) for all x, satisfying the definition of an odd function.

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S=\left\{x: f(x)=f^{-1}(x)\right\}