UNIT+6

**__ 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.

[[image:mhsalgebra2cp/group_4_(2)_chapter_6.jpg caption="group_4_(2)_chapter_6.jpg"]]

 * 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. You can tell the end behavior by looking were the polynomial ends. Ex: Group 3,k(x)=1/4x+3 the end behavior is Top Left Top Right. This is true because the line goes through the top left and the top right part of the graph.
 * 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. The roots are the numbers that appear smaller than the equation like 5^2 the 2 is smaller, it indicates that there is double of this number or 5*5. In group 2, the function f(x)=x^2 the root is 2, because its the root of that problem. g(x)=-3x-2 the root is one, sense there is no number, that indicates that it is 1, just like x^2 is really 1x^2. k(x)=x^4-5x^2+4, the roots here are 2 & 1.

__** 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. To find the end behavior all you do is see if the leading co efficient is positive or negative. The positive starts down and go up, the negative start up and go down.

__** 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.

p(x) Matches p(x) because they have the same variables. P(x) maches n(x) because they have the same variables but its all negative. k(x) and M(x) match because looking of the LC and the degree, you can see what the graph or picture looks like. Most of them were hardest to match because some of them dont even have the same numbers.I narrowed the choices down by guess. well actually some educated guess.
 * For example t(x) and u(x) match graph 7 because ...**
 * What properties did you look at first? What types of equation did you match first?
 * What type of equation was the hardest to match?
 * How did you narrow down your choices?