I. SolveGet absolute value by itself, make a

disjunction, solve1) |r-7| = 9 2) 2|x| + 4.1 = 18.9

I. SolveContinued

3) 4|m + 9| - 5 = 19 4) 2|p - 5| + 4 = 2

I. SolveContinued

5) 1/3 |2c - 5 | + 3 = 7

II. Absolute deviation:absolute deviation = |x - given value|

6) The absolute deviation of x from 7.6 is 5.2. What are the values of x that satisfy this requirement?

II. Absolute deviationContinued

7) Five times the absolute deviation of 2x from -9 is 15. (Write and solve)

II. Absolute deviationContinued

8) A cheerleading squad is preparing a dance program for a competition. The program must last 4 minutes with an absolute deviation of 5 seconds. Write and solve an absolute value equation to find the least and greatest possible times (in seconds) that the program can last.

6.5 Extension Notes

“Graphing Absolute Value

Functions”

III. Graphing absolute value functions

Set up a table and graph:9) f(x) = |x|

xx y

-2

-1

0

1

2

III. Graphing absolute value functionsContinued

Set up a table and graph:10) f(x) = |x| - 2

xx y

-2

-1

0

1

2

III. Graphing absolute value functionsContinued

Set up a table and graph:11) f(x) = 2|x|

xx y

-2

-1

0

1

2

III. Graphing absolute value functionsContinued

Set up a table and graph:12) f(x) = -2|x|

xx y

-2

-1

0

1

2

III. Graphing absolute value functionsContinued

Set up a table and graph:13) f(x) = |x - 2|

xx y

-2

-1

0

1

2

Note: extra points needed

Graphing Summary

f(x) = | x | (basic absolute function- V)

f(x) = | x | + k (moves up or down)

f(x) = | x - h| (moves left or right)

f(x) = a| x | (open down if a is negative)(makes skinny or wide- think like slope)