The ordered pairs (1, 1), (2, 8), (3, 27), (4, 64), and (5, 125) represent a function. What is a rule that represents this function?

A. y = x

B. y = 4x

C. y = x2

D. y = x3

The functions would be:

D. y=x³

We can check it out.

(1,1); x=1; y=1 ⇒1 = (1) ³=1*1*1=1

(2,8); x=2; y=8 ⇒8 = (2) ³=2*2*2=8

(3,27); x=3; y=27 ⇒27=3³=3*3*3=27

(4,64) : x=4; y=64 ⇒64=4³=4*4*4=64

(5,125); x=5; y=125 ⇔ 125=5³=5*5*5=125