UNIT+4

__**4.1**__ __**In your wikispace journal**__, answer the following questions in complete sentences:
 * How many x-intercepts are there?
 * 9
 * What is the x-value(s) when f(x)= 2?
 * +3
 * What is the x-value(s) when f(x)= -1
 * -2
 * If you were to shift the whole graph to the left, how many x-intercepts would there be?
 * same as the 1st one but the shift would be +1 then the original one.
 * 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?
 * (-10,-1), (-9,0) etc.
 * Describe how you would need to shift the original graph so there are NO x-intercepts.
 * a graph that has no solution.

__** 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. It is important because you can guess and check and make sure your answer is right.

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]. The 2 solutions are the ones that have 2 lines. the lines help you find out lets say which cellphone plan is better, if u have a cellphone plan that charges .30 cents a Minute and charges about 25 dollars activation fee plus 45 dollars a month., and cellphone co 2 charges 25 cents a min, 30 dollars activation fee and 40 dollars a/mo. To find out which plan is better, you find an equation to figure out the solution, then you graph your coordinates, then see which lines increase more, the one that increases less is the better plan.

__** 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.



graph a the line is an open circle and the solution is (-8,4) -8> and 4<. Graph b has 4 to infinity, and -8 to negative infinity. gragh c is -10 to negative infinity. 4 to infinity.

**__ 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 _the functions are sort of the same.