A rational function is one that can be written as a polynomial divided by a polynomial or the quotient of polynomials. Since polynomials are defined everywhere, the domain of a rational function is the set of all numbers except the zeros of the denominator. The rational function f(x)= can be transformed using methods similar to those used to transform other types of functions as we saw in last week’s discussion.
The purpose of this week’s discussion is to explore transformations on rational functions using the interactive site Desmos Interactive: Graph of Rational Function Version 2Links to an external site.. Using the interactive site, make adjustments to a, b, c, and d (do at least three transformations/changes).
In your original post, answer the following:
- Post screenshots of your three graphs.
- Answer the following questions:
- How do the variables c and d affect the asymptotes? Which transformation rules were applied?
- How do the variables a and b affect the asymptotes? Which transformation rules were applied?
- In your opinion, which transformation do you believe is less complicated or easier to understand? Provide justification for your response.