Activity 9.6 Polynomial and Rational Functions
Overview:
This activity is a worksheet that asks students to match polynomial and rational equations to their
graphs.
Estimated Time Required:
This activity should take approximately 20 minutes.
Technology: None
Prerequisite Concepts:



Polynomials function graphs
Power function graphs
Rational function graphs
Discussion:
This is a good review of Chapter 9 concepts.
Without using your graphing calculators, match each function with its graph below. Think
about key characteristics of each function when trying to match it with its graph.
a.) f  x  
d.)
f  x 
4x 1
x2
4
x2
b.) f  x  
4 x2  1
x2
e.) f  x    x  1
g.) f  x     x  1 x  3
2
c.)
2
 x  3
f  x 
4x  1
 x  2 x  1
f.) f  x    x  1
2
 x  3
2
Write the letter of the corresponding function next to the graph.
20
50
15
40
10
30
5
20
-4
-2
2
4
-5
10
-10
-15
-4
-2
2
-10
-20
-4
-4
4
20
20
15
15
10
10
5
5
-2
2
4
-2
2
-5
-5
-10
-10
-15
-15
-20
-20
20
20
15
15
10
10
5
5
-2
2
-4
4
-2
2
-5
-5
-10
-10
-15
-15
-20
-20
20
15
10
5
-2
2
-5
-10
-15
-20
4
4
4