Rational Functions Assignment
Chapter 3: Rational Functions – Assignment
The objective of the project is to demonstrate your knowledge and understanding of the chapter key concepts of rational functions by creating your own rational function and graphing it BY HAND. Your function should meet the following criteria:
- Numerator is a polynomial function with at least 1 x-intercept
- Denominator is a polynomial function with at least 1 x-intercept
- it has at least 1 vertical asymptote, and does NOT have a hole in the graph
- It has a horizontal asymptote
- Make sure you show your work in identifying key attributes listed below, and that your work is your own.
- For these attributes show your work! For example, solve for x and y intercepts, and show your calculations for testing behaviours of the graph. Use N/A for any sections that do not apply for your graph.
Attributes of the graph:
|
X-intercept(s) |
Show solving work ! |
Vertical Asymptote(s) |
Show how you know! | |
|
Y-intercept |
Show solving work! |
Horizontal Asymptote |
What rule did you use? | |
|
Domain |
Use Interval Notation |
Range |
Use Interval Notation | |
|
End Behaviour |
Calculations for EB |
Conclusions about EB: As x → -∞, As x → ∞, | ||
|
Behaviour around Vertical Asymptote(s) |
Calculations |
Conclusions | ||
|
Identify the interval(s) where the function is positive |
Identify the interval(x) where the SLOPE is INCreasing | |||
|
Identify the interval(s) where the function is negative |
Identify the interval(x) where the SLOPE is DECreasing | |||
