Question

The function f: R `rightarrow` R defined by f(x) = sin x is ______.

Options

• into

• onto

• one-one

• many one

Answer 1

The function f: R `rightarrow` R defined by f(x) = sin x is many one.

Explanation:

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.