The domain of $ y=f\left( x \right)$ is $[-4,1)$ and the range is $(-\infty,2]$.
Work Step by Step
The domain of any function is defined as the values it can take on the x-axis, whereas the range is the values it can take on the y-axis. Then, from the figure provided, it can be seen that the graph starts at $-4$ and ends at $1$ but does not touch $ x=1$. Therefore, the domain is $[-4,1)$. And for the range, we can see from the graph that y starts from $2$ and expands infinitely in the negative direction of the y-axis. So, the range is $(-\infty,2]$.