1. 7.2 Extension: Graphing Rational Functions
Algebra II Honors
7.2 Extension: Graphing Rational Functions
HW: p.371 (44, 47-50: graph by hand)
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2. 7.2 Extension where N(x) and D(x) are polynomials.
A rational function can be written in the form
where N(x) and D(x) are polynomials.
Graph and analyze the rational function:
1.) Factor the N(x) and D(x).
2.) Vertical Asymptote: D(x) = 0 (of the simplified function).
3.) Horizontal Asymptote:
a.) degree N(x) < D(x): y = 0
b.) degree N(x) = D(x):
c.) degree N(x) > D(x): none: has a slant asymptote.
4.) Domain: (of the original function).
5.) Holes: Any other value of the function where it is undefined, but is not an asymptote. (Plug x value into simplified function for y-value)
6.) Table of values for pts on the graph: to the left/right of v.a.

3. Rational Functions
Find all asymptotes of the graph. Determine the domain and any holes for the graph. Then graph the function. 1.)

4. Rational Functions
Find all asymptotes of the graph. Determine the domain and any holes for the graph. Then graph the function. 2.)

5. Rational Functions
Find all asymptotes of the graph. Determine the domain and any holes for the graph. Then graph the function. 3.)

6. Rational Functions
Find all asymptotes of the graph. Determine the domain and any holes for the graph. Then graph the function. 4.)

7. Rational Functions
Find all asymptotes of the graph. Determine the domain and any holes for the graph. Then graph the function. 5.)

8. Rational Functions
Find all asymptotes of the graph. Determine the domain and any holes for the graph. Then graph the function. Do Now.)

9. Additional Rational Functions
Find all asymptotes of the graph. Determine the domain and any holes for the graph. Then graph the function. 6.) 7.)