# How do you find the domain and range of y - 4 = 1(x - 4)?

Nov 5, 2017

Domain: $\mathbb{R}$
Range: $\mathbb{R}$

#### Explanation:

$y - 4 = 1 \left(x - 4\right)$ is equivalent to $y = x$

This equation is defined for all Real values of $x$, so the Domain is all Real values: $\mathbb{R}$.

The Range (the values possible for the dependent variable $y$) is equal to the Domain, so the Range is all Real values: $\mathbb{R}$.

(Actually, the Domain and Range could be considered to be the much larger collection of all Complex values: $\mathbb{C}$).