How do you find the domain and range of f(x)=1/2(x-2)?

May 28, 2018

Domain: x $\in$ $\mathbb{R}$
Range: $f \left(x\right)$ $\in$ $\mathbb{R}$
After factoring, this equation becomes $f \left(x\right) = \frac{1}{2} x - 1$.
In this equation there are no values that can result in $f \left(x\right)$ becoming undefined (like 5/0). So, the domain of x Includes all real numbers.
The graph of $f \left(x\right)$ is linear. It's a completely straight line so the range of $f \left(x\right)$ would also include all real numbers.