For those of you that attended Friday's Help session. I have your guesses for the M&M's in the jar. I am going to have the competition for another week or two so more people have a chance to guess. So this friday, if you want a chance to win "x" number of m&M's come to the help session and guess how many pieces are in the jar. The help session is every friday from 1-4 pm in 173 TMCB.
Melissa
Tuesday, September 6, 2011
4.3 Warmups--Answers will be given in class on Thurs
4.3 Warmups
We will be spending 2 days on Rational Functions. In class on Thurs, I will review Polynomial Functions and then go over 4.3 in class (Day 1 of 2 of Rational Functions). Please read through the textbook, watch videos, and go through the lecture notes -powerpoint is attached at the bottom.
Key terms: asymptotes, unbounded, improper, rational function
Objectives: find asymptotes in order to prepare for graphing, review polynomial long division
Answer the following True False questions.
1. T/F: The quotient of two polynomial expressions is a polynomial function.
2. T/F: To graph y = -x^2 you would reflect the graph of y = x^2 over the x axis.
3. T/F: The domain of every rational function is the set of all real numbers.
4. T/F: If an asymptote is neither horizontal nor vertical, it is called oblique.
5. T/F: If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients gives rise to the horizontal asymptote.
6. T/F: If the graph of a rational function R has the vertical asymptote x = 4, then x-4 must be in the denominator.
7. T/F: No graph of a rational function can have both a horizontal and an oblique asymptotes.
8. T/F: It is possible to have a graph of a rational function with both vertical and horizontal asymptotes.
9. T/F: The graphs of rational functions are smooth and continuous.
10. T/F: The domain of rational functions is the set of all real numbers.
Key terms: asymptotes, unbounded, improper, rational function
Objectives: find asymptotes in order to prepare for graphing, review polynomial long division
Answer the following True False questions.
1. T/F: The quotient of two polynomial expressions is a polynomial function.
2. T/F: To graph y = -x^2 you would reflect the graph of y = x^2 over the x axis.
3. T/F: The domain of every rational function is the set of all real numbers.
4. T/F: If an asymptote is neither horizontal nor vertical, it is called oblique.
5. T/F: If the degree of the numerator of a rational function equals the degree of the denominator, then the ratio of the leading coefficients gives rise to the horizontal asymptote.
6. T/F: If the graph of a rational function R has the vertical asymptote x = 4, then x-4 must be in the denominator.
7. T/F: No graph of a rational function can have both a horizontal and an oblique asymptotes.
8. T/F: It is possible to have a graph of a rational function with both vertical and horizontal asymptotes.
9. T/F: The graphs of rational functions are smooth and continuous.
10. T/F: The domain of rational functions is the set of all real numbers.
I’ve decided to post the answers at the beginning of class in order to encourage you all to complete the Warmups.
It would help if you studied the section in advance so we can go through the harder problems in class rather than introducing the material. Here is the powerpoint. If you could go through it before class then I could do more board work.
PowerPoint here
Please prepare for class by going through the questions above, watching section videos from petesblog and looking over the powerpoint to get some notes.
4.2 class notes
https://docs.google.com/document/d/1LuXgAOTjArBx-c7XENbLz5xx7dgi3Y0URLEAphPFtvY/edit?hl=en&authkey=CIyHo8kO
https://docs.google.com/present/edit?id=0AeHwqudAogG6ZDN3cjRicV80OWc5ZDNiOWM3&hl=en&authkey=CJ7al-YD
Here is the link for the handout on polynomial function and the powerpoint we used in class. It appears that the copy is a bit off when I converted it into a google doc, just disregard the parts that look like gibberish. I will try to fix that.
Watch video here http://petesmath110.blogspot.com/
I still need to finish up the section so we can graph the polynomial functions.
https://docs.google.com/present/edit?id=0AeHwqudAogG6ZDN3cjRicV80OWc5ZDNiOWM3&hl=en&authkey=CJ7al-YD
Here is the link for the handout on polynomial function and the powerpoint we used in class. It appears that the copy is a bit off when I converted it into a google doc, just disregard the parts that look like gibberish. I will try to fix that.
Watch video here http://petesmath110.blogspot.com/
I still need to finish up the section so we can graph the polynomial functions.
Saturday, September 3, 2011
Test reviews
Hello math 110 students,
The Math Lab has scheduled a couple reviews next week, to help you guys prepare for
your first test. Here are the times and location of the reviews.
Review for Test. The math lab is doing a review for Test 1. Please try to attend one or both of the following. There are links for the practice tests they will be going over.
Review #1
Test: https://math.byu.edu/~wright/Math%20110/ExamsWinter2010/110Exam1W10.pdf
Time: Tuesday, September 6, 7:00-9:00 PM
Location: JKB 1104
T.A.: TBA
-and-
Review #2
Test:
https://math.byu.edu/~wright/Math%20110/Exams/ExamsWinter2011/Test%201%20W11.pdf
Time: Wednesday, September 7, 7:00-9:00 PM
Location: JKB 1104
T.A.: TBA
Extra Review session -Tues from 5-6 pm in JKB 3108 by Nikki Mendenhall.
The Math Lab has scheduled a couple reviews next week, to help you guys prepare for
your first test. Here are the times and location of the reviews.
Review for Test. The math lab is doing a review for Test 1. Please try to attend one or both of the following. There are links for the practice tests they will be going over.
Review #1
Test: https://math.byu.edu/~wright/Math%20110/ExamsWinter2010/110Exam1W10.pdf
Time: Tuesday, September 6, 7:00-9:00 PM
Location: JKB 1104
T.A.: TBA
-and-
Review #2
Test:
https://math.byu.edu/~wright/Math%20110/Exams/ExamsWinter2011/Test%201%20W11.pdf
Time: Wednesday, September 7, 7:00-9:00 PM
Location: JKB 1104
T.A.: TBA
Extra Review session -Tues from 5-6 pm in JKB 3108 by Nikki Mendenhall.
Thursday, September 1, 2011
Warmup to 4.2--Everyone try these
Warmup to 4.2
Question 1: Go to www.wolframalpha.com and graph the following function:
f(x) = x^2 (x-2)Part a: How many x-intercepts are there? What are they?
Part b: Which statement is true about the graph.
a. The graph increases on the interval (2,∞)
b. The graph is decreasing on the interval (-∞, 0)
c. The graph crosses through the point (0,0)
d. The graph touches at the zero (2,0)
Question 2: Look at the following graph and answer the questions below about the attributes of the graph.
Part a: How many x-intercepts are there? What are they? (hint look under the graph and see if you can tell)
Part b: Is the graph smooth and continuous? (look in your book to read about what this means)
Part c: How many turning points are there in the graph? (look in your book to read about what this means.)
Question 3: Go to www.geogebra.org and try to draw a graph that matches with the following description. Write down the function you found that fits this description.
This graph’s end behavior is negative from both the left and right side. This graph has 3 turning points. This graph has two x intercepts.
I'll post the answers over the weekend.
HW, Quizzes, and Tests.
Since I never seem to have time in class I wanted to address important issues regarding homework, quizzes, and exams.
Homework: Stay ahead of the schedule. Don't wait a week to finish your homework. The week due date was only established to help those who have extenuating circumstances. You should plan on completing your homework before we discuss the next section. So before next tues you should have 3.5 and 4.1 completed.
Exams: We also expect you to take the exams within the first 3 days as well. So you should plan on taking the exam next week.
Quizzes: We also expect you to attend your labs. You will be given a password during lab so that you can access the quizzes. Currently the passwords have been lifted but this will not be the case starting next week. It is considered cheating to give passwords to other students. if you have something come up and can't attend any of your TAs lab sessions, please email your TA and let them know. They will make the call on whether or not they will give you the password.
This class is challenging when you get behind, so stay focused and on top of your studies.
Homework: Stay ahead of the schedule. Don't wait a week to finish your homework. The week due date was only established to help those who have extenuating circumstances. You should plan on completing your homework before we discuss the next section. So before next tues you should have 3.5 and 4.1 completed.
Exams: We also expect you to take the exams within the first 3 days as well. So you should plan on taking the exam next week.
Quizzes: We also expect you to attend your labs. You will be given a password during lab so that you can access the quizzes. Currently the passwords have been lifted but this will not be the case starting next week. It is considered cheating to give passwords to other students. if you have something come up and can't attend any of your TAs lab sessions, please email your TA and let them know. They will make the call on whether or not they will give you the password.
This class is challenging when you get behind, so stay focused and on top of your studies.
If you just added read here
If you just added, please take the time to get caught up and get your questions answered. Most of your questions can be answered by reading the posts on this blog. Also, if you haven't emailed Jim Logan you need to do this asap.
He will be able to give you access to your online homework and quizzes. We will keep the assignments open for another week to accommodate those that have transferred into our class.
Name,
sec,
net id
byu id,
class that transferred out of (if applicable)
He will be able to give you access to your online homework and quizzes. We will keep the assignments open for another week to accommodate those that have transferred into our class.
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