To find the range of the function f(x) = 2x + 5 with domain {-2, -1,0, 1, 2 we need to evaluate the function in this points so
[tex]\begin{gathered} f(-2)=2(-2)+5=-4+5=1 \\ f(-1)=2(-1)+5=-2+5=3 \\ f(0)=2(0)+5=0+5=5 \\ f(1)=2(1)+5=2+5=7 \\ f(2)=2(2)+5=4+5=9 \end{gathered}[/tex]The range is
[tex]\lbrace1,3,5,7,9\rbrace[/tex]