The ordered pair (0,0) (1,4) (2,16) (3,36) (4,64). write a rule that represents the function.

Let x represent first number in pair and y represent second number. We can see that x numbers are increasing by 1 on each next pair. y numbers are square of 0,2,4,6 and 8

Knowing all of that let "n" represent the position of the pair starting from 0!

than we can write that the rule is:

(n, (2n) ^2)