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

Jan 9, 2018

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

Explanation:

It's a linear function and by definition the domain is $\mathbb{R}$, there are no constraints.

Which means that for every $x$ you put into $f \left(x\right) = 4 x - 1$ you can get any value in $\mathbb{R}$, so the range is also $\mathbb{R}$.

So we can write like this:
Domain = $\left(- \infty , + \infty\right)$
Range = $\left(- \infty , + \infty\right)$

You can check it in the graph below
graph{4x-1 [-10, 10, -5, 5]}