# What is the domain and range of y = 3x + 8?

Jun 15, 2017

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

#### Explanation:

This is a linear function. I can tell because the degree of the $x$-variable is $1$.

In addition, the linear function is not vertical or horizontal. It's diagonal. I know this because there is a slope that is larger than $1$ and is defined.

Knowing this information, the domain and range is not limited, unless we were given context that would restrict the function.

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

Thus, we have a domain and range of:

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

If we were to graph the equation, we are given a visual of the function with no limits.

graph{3x+8 [-10, 10, -5, 5]}

As you can see, no limits!

Hope this helps :)