unit+6+journal

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.

Group 1 What does belong; g(x) = x5-2x+1 and k(x) = x2+5x+6 What doesn't belong; f(x) = 1/2x+3 doesn't belong because it has one x-intercept.

Group 2 Whats does belong; f(x)=x2 and g(x)=-3x-2 What doesn't belong; k(x)=x4-5x2+4 doesn't belong because it has more than one x-intercept.

Group 3 What does belong; f(x)=-x3-1 and g(x)= -2x-4 What doesn't belong; k(x)= 3x5-5x+1 doesn't belong because it has more than one y-intercept.

Group 4 What does belong; f(x)= -x6+2x2 and g(x)= -x4+3 What doesn't belong; k(x)= 1/4x+3 doesnt belong because it has no y-intercept

__** 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.

When graphing a polynomial function in intercept form, the most important part to consider is the end behavior of the function. The end behavior is shown by the degree and leading coefficient. The degree and leading coefficient gives you an idea of how the graph will look and where it will end pass. Also, you need to look and see at how many factors are repeated in the function.

__** 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

__** 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.

- So far this year I've learned a lot of new concepts. I feel like i have been able to better understand new types of problems now that i wasnt able to before. Things that i can improve on is doing my homework and making sure i ask questions. I know that i can do the work assigned, I'm just a tadlazy. My goals for the rest of the year is to complete all the assignment. I feel like if i had done my homework from the begining,, my grades would've been better in the earlier quarters. By the end of the year i want my grade to be at least at an 80

__** 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. The Rational Zeros Theorem

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

Factors of 6 1,2,3,6 1, 1/2, 2, 3, 3/2, 6 Factors of 2 1,2

2/ 2 -5 -1 6 __4 -2 -6__ 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.)



a(x) and u(x) match graph 6, they both have and even degree and negative leading coefficient. a(x) has x-intercepts at (x+2), (x-2), (x-1),

p(x), p(x) and L(x) match graph 5, they both have an even degree and negative leading coefficient. p(x) has x-intercepts at (x+1) (x-1), (x+3), (x-2)

n(x) and i(x) match graph 4, they both have an even degree and positive leading coefficient.

6.7


 * The average height (in inches) for boys ages 1 to 20 can be modeled by the function B(x) = -0.001x^4 + 0.04x^3 - 0.56x^2 + 5.5x +25, where x is the age (in years). **


 * The average height (in inches) for girls ages 1 to 20 can be modeled by the function G(x) = 0.00007x^4 - 0.00276x^3 - 0.012x^2 + 3.1x + 27, where x is the age (in years). **

Use the link below to graph both functions then answer the following questions in your online journal.

[|Graphing Tool]


 * What is the domain of both these function and explain why this domain is appropriate according to the context of the situation.
 * What is an appropriate range for each function. Explain why this range is appropriate according to the context of the situation.
 * Find B(7) and G(9). Write what this means in the context of the situation.
 * What year is the average height for boys the greatest?
 * What is the highest average height for the girls?
 * Describe the shape of the graphs. Why is this shape appropriate according to the context of the situation? Could you use this model to predict the height of a male at the age of 45? Explain.