Name________________________________________ Date_________________ Per___________
A7-Graphing Absolute Value Functions
Make a table of values and graph each absolute value function, labeling the axis of symmetry, vertex, and
maximum/minimum. Then state the domain, range, vertex, and intercepts of each function.
1. 𝑓(𝑥) = |𝑥 + 5|
X
Y
Domain:________________
-7
Range:_________________
-6
Vertex: ________________
-5
X intercept:_____________
-4
Y Intercept:_____________
-3
2. 𝑓(𝑥) = −2|𝑥 − 2|
X
Y
Domain:________________
0
Range:_________________
1
Vertex: ________________
2
X intercept:_____________
3
Y Intercept:_____________
4
1
3. 𝑓(𝑥) = |2 𝑥 + 1|
X
-6
Y
Domain:________________
Range:_________________
-4
Vertex: ________________
-2
X intercept:_____________
0
2
Y Intercept:_____________
4. 𝑓(𝑥) = |−𝑥 + 2| − 3
X
Y
Domain:________________
Range:_________________
Vertex: ________________
X intercept:_____________
Y Intercept:_____________
5. 𝑓(𝑥) = |𝑥 − 4| + 1
X
Y
Domain:________________
Range:_________________
Vertex: ________________
X intercept:_____________
Y Intercept:_____________
6. 𝑓(𝑥) = −3|𝑥| + 4
X
Y
Domain:________________
Range:_________________
Vertex: ________________
X intercept:_____________
Y Intercept:_____________