ALGEBRA 2ALGEBRA 2 PRE-AP

August 19 & 20, 2013 ef

Daily Prayer

Our Father,

Oh Lord,

Absolute Value

Absolute Value

Agenda:

1. Building The ABSOLUTE VALUE DEFINITION from graphs

2. Writing LINEAR EQU TO build up The ABSOLUTE VALUE DEFINITION

3. Don’t forget TRANSFORMATIONS

( )f x a bx h k

For each Graph, find the linear equations of each part of the absolute value function, find vertex and then

write the absolute value function.

For each Graph, find the linear equations of each part of the absolute value function, find vertex and then

write the absolute value function.

For each absolute value equation, write the two linear equations, find vertex and graph the equation.

Determine the Domain & Range of each equation.

For each absolute value equation, write the two linear equations, find vertex and graph the equation.

Determine the Domain & Range of each equation.

Transformations:

Transf 1: ( )f x a x

( )f x x h

( )f x x k

( )f x bx

Transf 2:

Transf 3:

Transf 4:

( )f x a bx h k

Solving Abs. Functions Algebraically

Solving Abs. Functions Algebraically

4 10 6x x

What is an extraneous solution?

4 10 6x x

Does this eq has extraneous solution?

Absolute Value Inequalities