Lesson #9: Asymptotes and Limit Notation
Learning Target
C5.9: I can determine asymptotic and end behavior of a function using limits.
Notes
EVERYBODY should review the following PDF. It summarizes the information provided in the third video shown below.
notes_-_asymptotes_and_limit_notation.pdf | |
File Size: | 143 kb |
File Type: |
Videos
The following video demonstrates a shortcut for finding the equation of the horizontal asymptote of a rational function. Note for the first three cases, each function has a horizontal asymptote. In Example 4, because the exponent in the numerator is greater than the exponent in the denominator, the rational function does not have a horizontal asympote. However, it does have a slant asymptote of y = 4x which you would have learned about in Pre Caclulus B 120 first semester.)
This video introduces the idea of using limit notation to describe the behavior of a graph near asymptotes.
This video corresponds to the file under NOTES.
The following video shows how asymptotes can be used to sketch the graph of a rational function. We look at this again in the next lesson.
Textbook (Notes and Examples)
Page 207 - 212 Vertical Asymptotes (This a bit "wordy.")
Page 213 - 220 Horizontal Asymptotes in Examples 2, 3, and 4.) |
Practice Questions
Textbook: pg. 212, Questions 1, 3 a, d, g
pg. 222 - 223, Questions 2 c, f, g Use the method shown in Examples 2 on page 217
3
pg. 222 - 223, Questions 2 c, f, g Use the method shown in Examples 2 on page 217
3
Formative Assessment
fa_25_-_asymptotes_and_limits.pdf | |
File Size: | 134 kb |
File Type: |
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