JEE MATHEMATICS MCQ: FUNCTIONS

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Which of the following functions are periodic?

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Correct option: C

f(x)=x-[x], x \in R

Option C is correct because f(x) = x - [x] has a period of 1, meaning its values repeat every interval of length 1.

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f:(-\infty, 2] \longrightarrow(-\infty, 4]

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f:\left( {2,\;3} \right) \to \left( {0,\;1} \right)

f\left( x \right) = x - \left[ x \right]

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f: R \rightarrow R

f(x)=x^4

f(x)=(x+1)^2-1(x \geq-1)

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