# What is the domain and range of y=2x-3?

$x \in \mathbb{R} , y \in \mathbb{R}$
Since any value of $x$ only gives one value of $y$ ane each value of $y$ has one corresponding $x$ value, we don't have to place any limits.
Also, all values of $x$ gives a value for $y$, and all values for $y$ are possible, we say that domain is $x \in \mathbb{R}$ and the range is $y \in \mathbb{R}$, where $\in \mathbb{R}$ which means it contains all values in the real set ($\mathbb{R} = \left\{0 , - 3 , 3.54 , 8.2223 , \frac{1}{3} , e , \pi , e t c .\right\}$)