Chapter 4 - An Introduction to Functions - 4-3 Patterns and Nonlinear Functions - Practice and Problem-Solving Exercises - Page 250: 15

y=2x$^{3}$

First , we could notice that each y-coordinate number could be divided by x-coordinate number . And we could later find the property by split them up , which (1,2) 2= 2$\times$1$^{3}$ (2,16) 16= 2$\times$2$^{3}$ (3,54) 54= 2$\times$3$^{3}$ ........... As a result , we could determine the rule of function : y =2x$^{3}$