JEE MATHEMATICS MCQ: FUNCTIONS

1 Easy

1 of 1

Application +4 | -1

f\left( x \right)

is an odd periodic function with period 2, then

f\left( 4 \right)

equals

View answer and explanation

Correct option: A

The correct answer is A (0) because an odd periodic function with period 2 has the property f(0) = 0, and f(4) = f(0) due to periodicity.

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

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

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

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\}