JEE MATHEMATICS MCQ: FUNCTIONS

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Analyzing +4 | -1

The function

f(x)

satisfies

f(10+x)=f(10-x)

and

f(20-x)=-f(20+x)

, then which of the following statements hold?

View answer and explanation

Correct option: B

f(x)

is an odd periodic function

The correct answer is

f(x)

is an odd periodic function because the given conditions lead to

f(x) = f(x+40)

(periodic) and

f(-x) = -f(x)

(odd).

More Questions from FUNCTIONS

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

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\}