# What is the domain and range of f(x)=4?

Apr 8, 2018

Domain: $\left(- \infty , \infty\right)$ Range: $\left\{4\right\}$
This is really just a horizontal line. It exists for all values of $x ,$ in fact, what value of $x$ we choose will not change its value.
The domain is then $\left(- \infty , \infty\right)$
The line, however, only exists at $y = 4$. There is no interval for the range, range must be $\left\{4\right\}$