a.
-1:
[tex]2(2)^{-1} \\ 2( \frac{1}{2}) \\ \frac{2}{2} \\ 1 [/tex]
(-1,1)
0:
[tex]2(2)^{0} \\ 2(1) \\ 2 [/tex]
(0, 2)
1:
[tex]2(2)^{1} \\ 2(2) \\ 4[/tex]
(1, 4)
2:
[tex]2(2)^{2} \\ 2(4) \\ 8 [/tex]
(2, 8)
3:
[tex]2(2) ^{3} \\ 2(8) \\ 16[/tex]
(3,16)
b.
To graph the equation, simply go through the points (-2, 0.5), (-1, 1), (0,2), (1,4), (2,8), and (3,16). Make sure you never go below 0 on the x-axis, because there's an asymptote there.
Hope this helps!
