Answer:
[tex]f(x) = (2x)^{3}[/tex]
Step-by-step explanation:
[tex]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\\[/tex]
[tex]f(x) = (2x)^{3}[/tex]
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
