Getting around Curves

I was looking through my Math Assignment. It says you have to create a book cover with functions, not more than 12 curves. So I was thinking about ways to go around it.

1) Technically a linear function is not a curve so we can have as many lines as we want

2) A circle graph is composed of two functions, but it is actually one curve.

3) The more asymtopes you have, the more curves you get in a rational function.

And even if your teacher clarifies that a curve means a function, you can just combine two halves of two functions into one equation.

Using the factor of (abs(-x)-x)/2x). When x is posivite (abs(-x)-x)/2x =0, but when x is negative, (abs(-x)-x)/2x = 1

And thus you can make two halves of two functions into one equation through series of transformations.

y=(((abs(-x)-x)/2x)*(x^2)+(((abs(x)+x)/2x)*sin(x)/(x^2)))

 

So you get two curves you want, but only in one equation

Isn't it wonderful that there are so many ways to get around rules?