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Q. The function f : R $\to$ R defined by f (x) = sin x is :

Relations and Functions - Part 2

Solution:

We have f (x) = sin x
clearly domain of f (x) is R
but its Range is [- 1, 1]
further sin 0 = sin $\pi$ = sin 2 $\pi$
= .....sin n $\pi$ = 0.
Hence, it is many one function