Complete the four steps and then (in step 5), take the survey at the end (which will be sent to your instructor to receive credit). The survey contains a couple of questions, but there is no other web-quiz relating to this material.
- Read the introduction to rational functions at this
web site.
-
Now let's consider a "simple" rational
function of the form:
On
paper, work out the details of the graph of this rational function (including
vertical asymptotes and/or holes, and horizontal asymptotes)
for three cases:
 |
a
= 1, b = 2, c = 3, d = 4 |
|
a
= 1, b = 2, c = 2, d = 4 |
|
a
= 1, b = 2, c = 2, d = 2 |
- Then
visit this
web site, which contains an applet for graphing rational
functions of this form. Use the sliders or arrow keys
next to the slides to plot the rational functions for the
three cases above and see if the details match those that you
worked out by hand (find and correct any mistakes).
- Now,
by hand or by using the applet, find values for a,b,c, and d, that will ensure a vertical asymptote at x = 1 and a hole
at x = -2. You will need to enter your values for a,b,c, and d when you submit your weekly survey (see the link below).
- Final Step: Once you have completed the activities above and have learned about rational functions, holes, and asymptotes, click on the Survey below and answer the questions (your responses will be sent to your instructor):
Rational Functions Web Activity Survey
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