2.6 Piecewise Functions and Absolute Value Graphs
Piecewise Functions
Example 1: Graph each function. Identify the domain and range.
a.
Domain:
Range:
b.
Domain:
Range:
1
Example 2: Graph each function and answer the follow-up questions.
Also, identify the domain and range.
a.
What is
?
What is
?
Domain:
Range:
b.
What is
?
Domain:
Range:
2
Absolute Value Graphs
Example 3: Graph the function
x
y
Work in your groups on the rest of the worksheet!
3
* The sign of a tells you the direction of opening (up or down).
* a also tells you how wide or narrow the graph is. (stretch)
* (h, k) is the vertex.
* x = h is the line of symmetry.
4
Example 4: Graph each function. Identify the vertex, domain, and
range.
a.
Vertex:
Domain:
Range:
b.
Vertex:
Domain:
Range:
c.
Vertex:
Domain:
Range:
5
Given the graph, write the equation
Example 5: Write the equation for each graph.
a.
b.
6