Domain:
In the graph, 'x' takes two groups of values:
![-5And:[tex]x>2](https://img.qammunity.org/2023/formulas/mathematics/high-school/r05bivjdknioyryxtcfjirp0334rnhcwa8.png)
So, the domain is:
![D=(-5,2)\cup(2,\infty)](https://img.qammunity.org/2023/formulas/mathematics/high-school/o2nxg27jcmwg964v2czk8yogpx1fbgo6dj.png)
Range:
In the graph you can see that 'y' takes the value -4 for some values of 'x' (the ones between -1 and 2) and then, for the rest, it takes values greater than -2.
So, the range of this function is:
![R=\lbrack-4\rbrack\cup(-2,\infty)](https://img.qammunity.org/2023/formulas/mathematics/high-school/ubkkqidqrr42fqirfjae63g3wioj9j23va.png)