6 4 Absolute Value And Graphing

Absolute Value and Graphing Review of Chapter 6.4 Pages 295-297

What’s the Deal? ,[object Object],[object Object],[object Object]

y = +7 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],x y -4 7 -2 7 0 7 +2 7 +4 7

y = +7 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

What are the domain and range? ,[object Object],[object Object],[object Object],[object Object],x y -4 7 -2 7 0 7 +2 7 +4 7

Number Terms ,[object Object],[object Object],[object Object],[object Object]

Task: Graph y = 2 x -1 and find the domain & range ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],-9 When you are finished, go to the next slide. x y -4 -2 0 +2 +4

Graph the points ,[object Object],x y -4 -9 -2 -5 0 -1 +2 3 +4 7

Name the domain and range. ,[object Object],[object Object],[object Object],x y -4 -9 -2 -5 0 -1 +2 3 +4 7

Graph y = | x-2 | ,[object Object],[object Object],[object Object],+7 x y -5 -1 0 +2 +6 +8

Graph y = | x-2 | ,[object Object],[object Object],x y -5 7 -1 3 0 2 +2 0 +6 4 +8 6

Is y = | x-2 | a linear equation? ,[object Object],[object Object],[object Object],[object Object]

How is y = - | x-2 | different? ,[object Object],x y -5 7 -1 3 0 2 +2 0 +6 4 +8 6 x y -5 -7 -1 -3 0 -2 +2 -0 +6 -4 +8 -6

Absolute Value Equations with Inequalities Key: Split the equation into two parts, a positive and negative side.

Absolute Value ,[object Object],[object Object],[object Object],[object Object],[object Object]

Making Use of Absolute Value ,[object Object],[object Object],[object Object],[object Object],- 13

Find the value: |x-2| =7 ,[object Object],[object Object],[object Object],[object Object]

How to find the value: |x-2| =7 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Procedure |x-2| =7 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Let’s take another look at a previous slide and see if the answers given were correct.

Find the value: |x-2| =7 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Procedure for | x-10 | =4.5 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Solve for | 2 x-14 | = 8 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Solve for |x - (-5)|  8 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Graph the solution for |x - (-5)|  8 ,[object Object],[object Object],[object Object],[object Object],-6 -4 -2 0 +2 +4 +6

Graph the solution to the equation. -14 -12 -10 -8 -6 +4 -2 0 +2

Solve for |x - 6| > 5 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Graph the solution to |x - 6| > 5 -4 -2 0 2 4 6 8 10 12

Extras for presentation x y -4 -2 0 +2 +4 -6 -4 -2 0 +2 +4 +6

6 4 Absolute Value And Graphing

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6 4 Absolute Value And Graphing