Unit+4+Journal+Responses

= = = Journal Assignments : All due dates are listed on your teacher's site (when the journal entry should be finished).=
 * __Unit 4: Inequalities__**

__ 4.1: __
__**In your classroom binder**__, create a table of values with x-values going from -1 up to 7. Complete the table of values using the equaiton f(x)=abs(x-3)-2. Graph the function in your binder near the table of values. Be sure to put arrows at the top of your graph so the lines can extend if we decided to make the table of values larger.


 * __Use the document below to help organize your thinking process if necessary. If you print the document, put it in your classroom binder.__**



__**In your wikispace journal**__, answer the following questions in complete sentences:
 * How many x-intercepts are there?
 * What is the x-value(s) when f(x)= 2?
 * What is the x-value(s) when f(x)= -1
 * If you were to shift the whole graph to the left, how many x-intercepts would there be?
 * If you were to shift the original graph down lower so that the bottom point is at f(x)= -10, how many x-intercepts would there be?
 * Describe how you would need to shift the original graph so there are NO x-intercepts.

**__ 4.2: __**
After watching the video on solving absolute value equations, you will need to solve the equation f(x)=abs(2x-5)=9 in your classroom binder. Be sure to show all the steps. In your wikipace journal, explain your entire solving process (from start to finish) so I don't have to see the solving in your notebook, but know every step you took. Go back to your notebook - Verify that your answer(s) are solution(s) by plugging in each value to show the statement is true,
 * [|Solving Absolute Value Equations] **

__** 4.3: **__
a.) Explain in your own words why, when solving absolute value equations, it is necessary to create 2 different cases when trying to solve 1 problem.

b.) Explain how there are situations that have 2 solutions (x-intercepts), some that have 1 solution and some that have no soltuions. Be sure to reference the graphical representations in your binder to help you explain how each situation [|varies].

__** 4.4: **__
__**WITHOUT SOLVING**__... explain the reasoning you would use to determine which absolute value graph matches the inequality. Remember to write your explanation in your wikispace.

**__ 4.5: __**
__**PREDICT**__ how the graph of f(x)=abs(x-3)+5 will be shifted from the parent graph of f(x)=abs(x). (If you are having trouble, refer to your 1.7 journal entry.) Remember you can edit your prediction after the lesson on shifting absolute value functions is completed.