Answer:
(a)Range: {-5, -2 ,1 ,4}
Explanation:
The function f is defined below:
[tex]f\mleft(x\mright)=1-3x[/tex]The domain of f(x) = {-1, 0, 1, 2}.
(a)To find the range of f(x), we evaluate f(x) for each value in the domain.
[tex]\begin{gathered} f\mleft(-1\mright)=1-3\left(-1\right)=1+3=4 \\ f\mleft(0\mright)=1-3(0)=1-0=1 \\ f\lparen1)=1-3(1)=1-3=-2 \\ f\mleft(2\mright)=1-3(2)=1-6=-5 \end{gathered}[/tex]Therefore, the range of f is:
[tex]\{-5,-2,1,4\}[/tex](b)Next, we graph f.