[tex]\begin{gathered} \text{if x=-2} \\ y=(-2)^3+1 \\ y=-8+1 \\ y=-7 \\ \\ \text{ if x=2, } \\ y=(2)^3+1 \\ y=8+1 \\ y=9 \\ \\ \text{if x=4} \\ y=(4)^3+1 \\ y=64+1 \\ y=65 \\ \\ \\ \text{Thus the range is }\mleft\lbrace-7,\text{ 9 , 65}\mright\rbrace \end{gathered}[/tex]