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

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

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: 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