The table represents an exponential function:
[tex]f(x) = 3^x[/tex]
Then the correct option is B.
What type of function is represented by the table?
Here we have the table:
x y
1 3
2 9
3 27
4 81
5 243
You can see that each time that x increases by one unit, the value of is multiplied by 3. This is clearly an exponential function.
The function actually is:
[tex]f(x) = 3^x[/tex]
Evaluating it we get:
[tex]f(1) = 3^1 = 3\\\\f(2) = 3^2 = 9\\\\f(3) = 3^3 = 27\\...[/tex]
So the correct option is B, exponential.
If you want to learn more about exponential functions:
https://brainly.com/question/11464095
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