Consider the rational function given by two polynomial functions;
What about these two polynomials decides the location of:
- The vertical asymptotes?
- The horizontal asymptotes?
- The solutions to f(x)=0?
I know the theory behind this, but what does it look like in motion?
The geogebra file linked here https://www.geogebra.org/m/m8eqsjzu explores this. What happens as I click and drag one of the curves? How does it make the graph of f(x) move?
