Unit+4

__ 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.__**

[|4.1 journal response.doc]

__**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.


 * There are 2 x-intercepts
 * there is (1,0) and (5,0)
 * F(X)=2, x= -1 and x=7
 * If i was to shift the whole grapg to left, there would be 2 x-intercepts
 * If the lowest point was f(X)=-10, i dont think there be any x-intercept
 * to get no x-intercepts you would havt to shift the graph up, until the vertex wasnt on the graph

‍__** 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.

Because then you get a negative positive answer and also the v on the graph there will be 2 point on thats why.

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.