Honors Algebra II Types of Graphs
Name ________________________________________
Find the domain and range of each graph. Then find the inverse of each equation. Then graph the inverse and find the domain and
range of the inverse.
Linear Functions
1. y  x
2. f x   3x  2
3. y  1
4. x  3
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Inverse:_________________________
Inverse:_________________________
Inverse:_________________________
Inverse:_________________________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Quadratic Functions
5. y  x 2
6. f x   x 2  2
7. f x   x  2 2
8. f x    x  22  1
Vertex: _____________
Vertex: _____________
Vertex: _____________
Vertex: _____________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Inverse:_________________________
Inverse:_________________________
Inverse:_________________________
Inverse:_________________________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Rational Functions
11. y  1  2
12. y  1
9. y  1
10.
VA: _____________ HA ___________
VA: _____________ HA ___________
VA: _____________ HA ___________
VA: _____________ HA ___________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Inverse:_________________________
Inverse:_________________________
Inverse:_________________________
Inverse:_________________________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
x
y 
1
x3
x
x3
1
Radical Functions
13. y 
x
14. y  x  2
15. y  x  1
16. y  x  4  2
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Inverse:_________________________
Inverse:_________________________
Inverse:_________________________
Inverse:_________________________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Find the domain and range of each graph.
17. y  2
Exponential Functions
19. f x   2 x  1
18. f x   2  1
x
x
20. f  x   2 x  1  2
Horizontal Asymptote: _____________
Horizontal Asymptote: _____________
Horizontal Asymptote: _____________
Horizontal Asymptote: _____________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Just a Graph Functions
21.
22.
23.
24.
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Domain: _______ Range: __________
Match the equation with its proper name and the general picture of the graph.
Examples of Equations
Graphs of Equations
A. y  2 x
Name of Equation
Example of
Equation
Picture of
graph
25. Exponential Equation
1. __________
1. __________
26. Linear Equation
2. __________
2. __________
27. Quadratic Equation
3. __________
3. __________
28. Radical Equation
4. __________
4. __________
29. Rational Equation
5. __________
5. __________
y
y
5
5
4
4
3
3
2
2
1
1
B. y  x
2
x
x
-5
-4
-3
-2
-1
1
2
3
4
-5
-4
-3
-2
-1
1
5
2
3
4
5
-1
-1
-2
-2
-3
-3
1
C. y 
x
G.
-4
H
-4
-5
-5
y
y
5
4
3
2
1
D. y 
x
x
x
-5
-4
-3
-2
-1
1
2
3
4
5
-1
-2
-3
E. y  x
J.
I.
-4
-5
y
5
4
3
2
1
x
-5
-4
-3
-2
-1
1
-1
-2
-3
-4
K.
-5
2
3
4
5