Your guess is
![y=2^x](https://img.qammunity.org/2023/formulas/mathematics/high-school/pxj2mht7hrddkxaw51sn3i7fw6eifb05uu.png)
If all the tabular values satisfy the equation, this is the right answer. Let's check:
If x = 0
y = 2^0 = 1
If x = 1,
y = 2^1 = 2
If x = 2,
y = 2^2 = 4
If x = 3
y = 2^3 = 8
All the values from the table area satisfied via the equations y = 2^x.
Thus, the equation representing the table is:
![y=2^x](https://img.qammunity.org/2023/formulas/mathematics/high-school/pxj2mht7hrddkxaw51sn3i7fw6eifb05uu.png)