Question

What are the domain and range of f(x)=[1/5]x

Answer 1

Domain: All real numbers

or

`(-\infty,+\infty)`

Range: All real numbers

Or

`(-\infty,+\infty)`

Explanation:

The given function is
`f(x)=(1)/(5)x`

This a polynomial function of degree 1.

Polynomial functions are continuous everywhere.

The function is therefore defined for all real values of
`x`.

The domain is
`(-\infty,+\infty)`

If we let
`y=(x)/(5)`

Then,
`x=5y`.

`x` is also defined for all real values of
`y`, hence the range is also all real numbers or
`(-\infty,+\infty)`