# Rational Functions

- Author:
- Peter Sassman

Below is the rational function, given in general form ( ) as well as transformational form ( ).
You can have the application show the asymptotes, and you can adjust and . Adjust these, and see how they affect the graph, and then answer the questions below.

**Question 1:**Why is the function called a rational function? What does rational mean in mathematics?

**Question 2:**Make the graph in general form (

**Question 3:**Hence, what is the domain of the function

**Question 4:**Can you find any patterns for the horizontal asymptote? Try in transformational form. Write an equation for the horizontal asymptote for the function

**Question 5:**Hence, what is the range of the function

**Question 6:**In your notebook, consider the function

**Question 7:**Hence, find the equation of the horizontal asymptote for the function