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Let f:RrarrR be a continuous function su...

Let `f:RrarrR` be a continuous function such that `f(x^2)=f(x^3)` for all `x in R`. Consider the following statements. I. f is an odd function. II. f is an even function. III. f is differentiable everywhere Then

A

I is true and III is false

B

II is true and III is false

C

both I and III are true

D

both II and III are true

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KVPY PREVIOUS YEAR-SOLVED PAPER 2019-EXAMPLE
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