Answer:
{-20,-2,13}
Explanation:
Given f(x)=3x-8 for the domain {-4,2,7}.
When x=-4
[tex]\begin{gathered} f(-4)=3(-4)-8 \\ =-12-8 \\ =-20 \end{gathered}[/tex]When x=2
[tex]\begin{gathered} f(2)=3(2)-8 \\ =6-8 \\ =-2 \end{gathered}[/tex]When x=7
[tex]\begin{gathered} f(7)=3(7)-8 \\ =21-8 \\ =13 \end{gathered}[/tex]So, the range for the given domain is:
[tex]\{-20,-2,13\}[/tex]