# How do you find the domain and range of  f(x)= x-7?

Jun 9, 2017

Determine the possible values of the function.In this case, we get:

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

#### Explanation:

The domain and range are sets of values that the $x$ and $y$-values of the function can be.

It includes all possible values.

Immediately, I noticed that the function is linear - a degree of $1$ on the variable.

Linear functions do not have a restriction to their values, unless given context.

As a result, we get 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 would have the possibility for all the values to be the domain/range (just not at the same).

graph{x-7 [-10, 10, -5, 5]}

As you can see, if you zoom out, the function has a possibility to have any value.

Hope this helps :)