Characteristic of y = (ax+b)/(cx+d) graph
The graph of y = (ax+b)/(cx+d) has the following characteristics:
- horizontal asymptote at y = a/c
- vertical asmyptote at x = -d/c
- has a shape of a rectangular hyperbola:
![shape of rectangular hyperbola](https://emilylearning.com/wp-content/uploads/2023/07/image-24.png)
Sketching y = (ax+b)/(cx+d) on the graphic calculator, Ti84
The graph of y = (ax+b)/(cx+d) can be easily sketched on the graphic calculator by :
- pressing [y=]
- type in the equation
- press [graph]
Do note that the graphic calculator does not give the asymptotes. However, you are expected to include the asymptotes and their equations in your sketch.