what type of function is represented by the table of values below

The function that is represented by the table of values is:
Option: B
B. exponential
We are given a table of values as follows:
x y
1 2
2 4
3 8
4 16
5 32
Based on the table of values we see that the relation between the independent variable x and the dependent variable y is given by:
[tex]y=2^x[/tex]
( since, when x=1 we have: [tex]y=2^1=2[/tex]
when x=2 we have: [tex]y=2^2=2\times 2=4[/tex]
when x=3 we have: [tex]y=2^3=2\times 2\times 2=8[/tex]
and so on)
Hence, the relationship is exponential with base 2 and exponent x.