[tex]\begin{gathered} \text{if x=}-1,\text{ then } \\ y=-(-1)^2+(-1)-3 \\ =-1-1-3 \\ =-5 \\ \\ \text{if x=1, then} \\ y=-(1)^2+1-3 \\ y=-1+1-3 \\ y=-3 \\ \\ \text{if x=3} \\ y=-(3^2)+3-3 \\ y=-9+3-3 \\ y=-9 \end{gathered}[/tex]
Thus the range is {-5, -3, -9}