Without graphing, we want to determine whether the given equation represents a linear or nonlinear function.
y=8/x^2
We can see that the x-variable is in a denominator. Therefore, the function is nonlinear.
Extra
What it means when x is in the denominator?
We have a rational function when x is in a denominator. The graph is divided into at least two distinct pieces by invisible lines called asymptotes. Let's see an example graph of this type of function.