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Let f:R rarr R defined by f(x)=cos^(-1)(...

Let `f:R rarr R` defined by `f(x)=cos^(-1)(-{-x}),` where {x} denotes fractional part of x. Then, which of the following is/are correct?

A

f is many coe but not even function

B

Eange of f contains two prime numbers

C

f is a periodic

D

Graph of f does not lie below x-axis

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The correct Answer is:
A, B, D
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