write a function rule for the following table--

x f(x)
3 9
4 16
5 25
6 36

I know how to find the function rule, it's just that this is a bit confusing since the f(x) isn't constant.
Thank you so much!

x^2

To find the function rule for the given table, we need to observe the relationship between the values of x and f(x).

Looking at the table, we can see that the values of f(x) are obtained by squaring the value of x. For example, when x is 3, f(x) is 9 because 3 squared is 9. Similarly, when x is 4, f(x) is 16 because 4 squared is 16.

Based on this pattern, we can conclude that the function rule for this table is f(x) = x^2, where the symbol "^" represents exponentiation. This means that to find f(x) for any given value of x, we simply need to square x.

Therefore, the function rule for the given table is f(x) = x^2.