Given:
![f(x)=2^x](https://img.qammunity.org/2023/formulas/mathematics/high-school/4zfs7cmm18gayjob0j01e7yfqa7wstig.png)
Required:
We need to draw the given function on a graph.
Step-by-step explanation:
Consider the given function.
![f(x)=2^x](https://img.qammunity.org/2023/formulas/mathematics/high-school/4zfs7cmm18gayjob0j01e7yfqa7wstig.png)
Set x =0 and substitute in the function.
![f(0)=2^0](https://img.qammunity.org/2023/formulas/mathematics/college/t9z7ygo4gkdqm4bgpp3gqywmpcr4lpwvh8.png)
![f(0)=1](https://img.qammunity.org/2023/formulas/mathematics/high-school/iazx194yt5gh04dmudx57s5a2lrdqklmpi.png)
We get the point (0,1).
Set x =1 and substitute in the function.
![f(1)=2^1](https://img.qammunity.org/2023/formulas/mathematics/college/r3ltuj925n3e1bwcoc67rexy9mrfet2m91.png)
![f(1)=2](https://img.qammunity.org/2023/formulas/mathematics/high-school/n4w0rtfmbnvatkri78pff0teiazf7e4gwz.png)
We get the point (1,2).
Set x =2 and substitute in the function.
![f(2)=2^2](https://img.qammunity.org/2023/formulas/mathematics/college/ra1083ckdzq3u224756434isz1jr7oe0uy.png)
![f(2)=4](https://img.qammunity.org/2023/formulas/mathematics/high-school/c3n04gkiiesf3bmz6qz3nq5qrmbl6n0a33.png)
We get the point (2.4).
Set x=3 in the given function.
![f(3)=2^3](https://img.qammunity.org/2023/formulas/mathematics/college/ztl3at9sqk86a8nxzovlfy0mdfph319azm.png)
![f(3)=8](https://img.qammunity.org/2023/formulas/mathematics/college/4joupjl10r49r6zcko6mg08n1udcwtnjj4.png)
We get the point (3,8).
Set x=4 in the given function.
![f(4)=2^4](https://img.qammunity.org/2023/formulas/mathematics/college/e99u3nfiniz367uq03f5b5le7ahyuou9it.png)
![f(4)=16](https://img.qammunity.org/2023/formulas/mathematics/college/ec0sqgzs945qz1xaddvo4y6lpxagtnnsvs.png)
We get the point (4,16).
Mark the points (0,1), (1,2). (2, 4), (3, 8), and (4,16) in the graph and join them by a curve.
Final answer:
The required graph.