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

Question

asked Aug 18, 2020 185k views

1 Answer

Phil Wright · Answer 1 · 2020-08-23T09:05:17+0000

Answer:

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
.

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

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

Then,
x=5y .

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