Question

The set of ordered pairs represents a function. Write a rule that represents the function. (1,8),(2,64),(3,216),(4,512)

Answer 1

`f(x) = (2x)^(3)`

Explanation:

`8 = 2^(3) \\ and \\ 2 = 2(1 ) = 2x\\64 = 4^(3)\\ and \\ 4 = 2(2) = 2x\\ \\216 = 6^(3) \\ and \\ 6 = 2(3) = 2x\\512 = 8^(3) \\ and \\ 8 = 2(4) = 2x\\`

`f(x) = (2x)^(3)`

I hope you can follow what I have shown. What is happening is the the y value in each ordered pair is the cube of 2 times the x value