2. Write a function rule for the table. *

1 point

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

f(x) = x4 (x to the 4th power)
f(x) = x2 (x squared)
f(x) = 4 – x
f(x) = 4x

please help asap! <3

3^2 = 9

4^2 = 16
5^2 = 25

mmmhhh, what am I doing to the x ?

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

Looking at the table, we can observe that f(x) is equal to the square of x. Therefore, the function rule for this table is:

f(x) = x^2 (x squared)

To find the function rule for the given table, we need to determine the relationship between the values in the x-column and the corresponding values in the f(x)-column.

Looking at the x-values, we can see that they follow a pattern of increasing by 1 each time: 3, 4, 5, 6. Similarly, when we look at the f(x)-values, we can observe that they are the squares of the corresponding x-values: 9 = 3^2, 16 = 4^2, 25 = 5^2, 36 = 6^2.

Therefore, the function rule that relates the x-values to the f(x)-values can be written as:

f(x) = x^2

This means that for any given value of x, the value of f(x) is obtained by squaring x.