Answer:
The first graph is given as
[tex]\begin{gathered} f\mleft(x\mright)=3^x \\ when\text{ x=0} \\ y=3^x \\ y=3^0 \\ y=1 \\ \left(0,1\right) \\ when\text{ x=1} \\ y=3^1 \\ y=3 \\ \left(1,3\right) \end{gathered}[/tex]
Hence,
The graph is given below as
The second equation is given below as
[tex]f\mleft(x\mright)=\lparen\frac{1}{3})^x[/tex][tex]\begin{gathered} f\mleft(x\mright)=\operatorname{\lparen}\frac{1}{3})^x \\ when\text{ x=0} \\ f\mleft(x\mright)=\operatorname{\lparen}\frac{1}{3})^0 \\ f\mleft(x\mright)=1 \\ \lparen0,1) \\ \\ when\text{ x= 1} \\ f\mleft(x\mright)=\operatorname{\lparen}\frac{1}{3})^1 \\ f\mleft(x\mright)=\frac{1}{3} \\ \lparen1,\frac{1}{3}) \\ when\text{ x=-1} \\ f\mleft(x\mright)=\operatorname{\lparen}\frac{1}{3})^{-1} \\ y=3 \\ \left(-1,3\right) \end{gathered}[/tex]
Hence,
The graph is given below as
The third function is given below as
[tex]\begin{gathered} f\mleft(x\mright)=\left(\frac{2}{3}\right?^x \\ when\text{ x=0} \\ y=\left(\frac{2}{3}\right?^0 \\ y=1 \\ \left(0,1\right) \\ \\ when\text{ x=-1} \\ y=\left(\frac{2}{3}\right?^{-1} \\ y=\frac{3}{2}=1.5 \\ \left(-1,1.5\right) \end{gathered}[/tex]
The graph is given below as
The fourth equation is given below
[tex]\begin{gathered} f\mleft(x\mright)=4^x \\ when\text{ x=0} \\ y=4^0=1 \\ \left(0,1\right) \\ \\ When\text{ x=1} \\ y=4^1=4 \\ \left(1,4\right) \end{gathered}[/tex]
The graph is given below as
Hence,
The final answer is given in the image below as
