The domain of the function are the values of x while the range of the function are the corresponding values of f(x).
Given the function:
[tex]f(x)=-4x+7[/tex]The given domain is: {-2, 0, 2}
[tex]\begin{gathered} \text{When }x=-2,\; f(-2)=-4(-2)+7=8+7=15 \\ \text{When }x=0,\; f(0)=-4(0)+7=0+7=7 \\ \text{When }x=2,\; f(2)=-4(2)+7=-8+7=-1 \end{gathered}[/tex]Therefore, the range of f(x) for the domain {-2, 0, 2} is:
[tex]R\colon\text{ }\{-1,7,15\}[/tex]