Explanation:
The function is given below as
[tex]g(x)=2-2x[/tex]
The set of domains is given below as
[tex]\lbrace-1,0,1,2\rbrace[/tex]
Step 1:
Put x=-1
[tex]\begin{gathered} g(x)=2-2x \\ g(-1)=2-2(-1) \\ g(-1)=2+2 \\ g(-1)=4 \end{gathered}[/tex]
Step 2:
Put x=0
[tex]\begin{gathered} g(x)=2-2x \\ g(0)=2-2(0) \\ g(0)=2 \end{gathered}[/tex]
Step 3:
Put x=1
[tex]\begin{gathered} g(x)=2-2x \\ g(1)=2-2(1) \\ g(1)=2-2 \\ g(1)=0 \end{gathered}[/tex]
Step 4:
Put x=2
[tex]\begin{gathered} g(x)=2-2x \\ g(2)=2-2(2) \\ g(2)=2-4 \\ g(2)=-2 \end{gathered}[/tex]
Hence,
The range of g(x) using set notation will be
[tex]\Rightarrow\lbrace4,2,0,-2\rbrace[/tex]
Hence,
The graph of g(x) is given below as
