The function f: R → R defined by f (x) = sin x is :

Question

The function f: R → R defined by f (x) = sin x is : (A) into (B) onto (C) one-one (D) many one

Tardigrade Admin · Accepted Answer

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

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

into

onto

one-one

many one

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

Q. The function f : R → R defined by f (x) = sin x is :