Given:
[tex]f(x)=4(3)^x_{}[/tex]
Set x=-4 and substitute in the function, we get
[tex]f(x)=4(3)^{-4}_{}[/tex]
[tex]f(x)=\frac{4}{3^4}[/tex][tex]f(x)=0.05[/tex]
Set x=-2 and substitute in the function, we get
[tex]f(x)=4(3)^{-2}_{}[/tex]
[tex]f(x)=\frac{4}{3^2}[/tex]
[tex]f(x)=0.4[/tex]
Set x=0, and substitute in the function, we get
[tex]f(x)=4(3)^0[/tex]
[tex]f(x)=4[/tex]
Set x=2, and substitute in the function, we get
[tex]f(x)=4(3)^2[/tex]
[tex]f(x)=36[/tex]
Set x=4, and substitute in the function, we get
[tex]f(x)=4(3)^4[/tex]
[tex]f(x)=324[/tex]
The table for the given function is
Mark these points on the graph and join them by the curve.
The graph of the given function is
