# What is the domain and range of f (x) = 2x + 3?

Jun 22, 2017

$D : \left\{x \in \mathbb{R}\right\}$
$R : \left\{y \in \mathbb{R}\right\}$

#### Explanation:

This is just a linear function. I know this because the degree of the $x$-variable is $1$.

Domain and range are sets of possible values the function can have - though not necessarily at the same time.

Thus, there are no restrictions to the domain and range unless context is given.

Therefore, the domain and range is:

$D : \left\{x \in \mathbb{R}\right\}$
$R : \left\{y \in \mathbb{R}\right\}$

If we were to graph this function, we would get a straight line.

graph{2x+3 [-10, 10, -5, 5]}

As you can see, there is no restriction to the possible values.

Hope this helps :)