Warm-Up!• Solve, graph and give the interval notation for:

85 x 123 xor

Algebra II – 2.6

Piecewise and Absolute Value Functions

To Review:• Domain – the values of the X-coordinates

needs to be found:

• An interval is:

• A piecewise function is drawn according to:

Let’s Graph the following:

2 if f(x) = x + 4 if

-½x if

5x

45 x

4x

Graph: f(x) =

Graph: f(x) =

Graph: f(x) =

Now let’s put it all together:

o•-→q/

Absolute Value Functions:

• Remember that Absolute Value must always be

• Therefore, the graph will always appear

• No matter what value the X is, the Y will be

Let’s Graph: 5)( xxg

First – set the value inside of the absolute value bars equal to zero

Now that we have that X value where the graph is at its lowest point, we can find three greater and three less than that point

Using a table –

Graph the Coordinate Points:

Homework:

Page 93 (8-11)Page 94 (31-41 odd) and 44