Unit+6

Unit 6: Polynomial Functions

**__ 6.1: __**

 * For each of the groups below, identify the graph that does not belong and state your reasoning why that graph does not belong in your online journal. **

1. Graph one does not match with any of the other graphs, because it is just a line and a "non repeating factor", this is the same reason for the rest of the groups.

2. Graph two does not match with any of the other graphs.

3. Graph three does not match with any of the other graphs.

4. Graph three does not match with any of the other graphs.


 * Answer the following questions in your online journal: **


 * Based on the examples above, explain how you can determine the end behavior of a function when your are only given an equation. **


 * In group 2, identify the number of roots each function. Using these three examples, explain how you can predict the number of roots when only given the equation. **

1. The degree and leading coefficient, can determine the end behavior.

__** 6.2: **__

 * Summarize the last two days of class in your online journal. We have discussed different methods for graphing polynomial functions in intercept form. In detail, explain the graphing method to a student who has missed the last two days. **


 * A polynomial is a group of terms added or subtracted together each of which have exponents that are positive integers, in intercept form, for example: 9x^5-7. The degree is 5.

__** 6.3: **__
Watch the video below to complete the worksheet handed out in class. The examples on the handout are the same as the examples in the video, so complete the example along with the video. After completing the examples, do the practice problems on the handout as well. Be sure to complete the summary at the bottom of the handout.


 * I put a summary on the bottom.

__** 6.4: **__
In your online journal, reflect upon your performance and experience so far this year in Algebra 2 CP. Discuss your work ethic, effort, attitude and motivation. What are your goals for the rest of the a year? What do you need to do to be sure you reach your goal before the year is done? Based on what you have done so far and how you plan on improving the rest of the year, make a goal for your final grade for the year. Be sure this goal is a number grade, not just a letter grade.


 * I think algebra 2 was a tough year, normally I'm great in math, but I didn't really focus as much this year. In the beginning of the year, my first quarter my work ethic, effort, attitude and motivation was good. Then second, third, and fourth quarter I slacked off because I thought it was gonna be easy. I did not want that to happen considering I was becoming a senior, but that's just when I started to slack. My goal for this last week of full class it to get any make up work done, so I can be some what happy of my grade, even though I should be getting 80's or 90's. My final grade this quarter should be around 65 but I'm aiming for a 70.

__** 6.5: **__
On the handout from class, answer the questions as you watch the video. Once the video is complete, use the new method to complete the handout and the problem from the video.

I don't really understand this but I know you have to use the r ational zeros theorem

2x^3 -5x^2 -x +6

First find the factors of 6: 1,2,3,6 1, 1/2, 2, 3, 3/2, 6 (positive or negative) Then the factors of 2: 1,2 (positive or negative)

(someone helped me with this)

2/ 2 -5 -1 6 4-2-6  Then you get: 2 -1 -3 0 (x-2)(2x^2-x-3)

__** 6.6: **__
Listed below are 6 graphs and 12 equations. Some equations are written in intercept form, and some in standard form. A single graph will match one of each type of equation. (2 equations per graph.)

In your online journal, explain your thought process and order of matching the equations and graphs together.
 * For example t(x) and u(x) match graph 7 because ... **


 * q(x) matched graph 1 **
 * k(x) and u(x) matched graph 2 **
 * k(x) and u(x) matched graph 3 **
 * n(x) and i(x) matched graph 4 **
 * n(x) matched graph 5 **
 * p(x) and a(x) matched graph 6 **

>
 * What properties did you look at first? What types of equation did you match first?
 * Its easier to find the factored ones first then find the points on the graph that matched.
 * What type of equation was the hardest to match?
 * Standard form
 * How did you narrow down your choices?
 * By eliminating the easier ones first.