Given the function:
[tex]g(x)=2^x[/tex]So, for x = 0, g(x) is
[tex]g(0)=2^0=1[/tex]For x = 1, g(x) is:
[tex]g(1)=2^1=2[/tex]For x = 2, g(x) is
[tex]g(2)=2^2=2\cdot2=4[/tex]For x = 3, g(x) is
[tex]g(3)=2^3=2\cdot2\cdot2=8[/tex]For x = 4, g(x) is
[tex]g(4)=2^4=2\cdot2\cdot2\cdot2=16[/tex]So, the points are:
(0,1)
(1,2)
(2,4)
(3,8)
(4,16)
Now, graphing the points: