The domain of a function is defined as the set of input values a function can take.
In the case of our function, the domain is all the values contained in the ellipse on the left.
These values are
![\left\lbrace -2,3,4,2\right\rbrace](https://img.qammunity.org/2023/formulas/mathematics/high-school/36bd9v7fesxbfolgij2skkhaix3uce187u.png)
which is our domain. The answer we got matches choice B; therefore, choice B is the correct answer.