Final answer:
The function 2yx³ = -6 is nonlinear because it cannot be represented by a straight line with a constant rate of change.
Step-by-step explanation:
The function 2yx³ = -6 is nonlinear.
A linear function is a function that can be represented by a straight line with a constant rate of change. In this case, the equation 2yx³ = -6 cannot be rearranged to the form y = mx + b, where m and b are constants. Therefore, it is not linear.