# How do you find the domain and range of y = 2x - 1?

Aug 5, 2015

Domain: $\left(- \infty , + \infty\right)$
Range: $\left(- \infty , + \infty\right)$

#### Explanation:

Your function has no restrictions for its domain, since it's defined for all $x \in \mathbb{R}$.

Its domain will thus be $\left(- \infty , + \infty\right)$.

The same can be said for its range. Your function can take any avalue of $x$ and produce any value of $y \in \mathbb{R}$, so its range will be $\left(- \infty , + \infty\right)$.

graph{2x-1 [-10, 10, -5, 5]}
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