# What is the domain of f(x)=2x+ 6?

May 23, 2018

$\left(- \infty , \infty\right)$

#### Explanation:

Since $f \left(x\right) = 2 x + 6$ is a line there are no restrictions on the function's input so the domain is all real numbers $\left(\mathbb{R}\right)$ or interval notation:

$\left(- \infty , \infty\right)$

graph{2x+6 [-13.21, 6.79, -3.08, 6.92]}

May 23, 2018

$x \in \mathbb{R}$

#### Explanation:

$y = 2 x + 6$

$\text{is a linear function with no restrictions on it's domain}$

$\text{domain } x \in \mathbb{R}$
graph{2x+6 [-10, 10, -5, 5]}