Polynomial Functions

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ANALYSIS OF FUNCTIONS
Polynomial Functions
Polynomial Functions
Pre-Calculus Worksheet
Name: _______________
Section 2.2 - Polynomial Functions DAY TWO
Period: ______
I.
Use a graphing utility to graph the function. Then find the requested information.
( )
4
3
2
( )
5
4
3
2
1.
f x
=
x
+
x
3
x
5
x
2
2.
f x
= −
2
x
+
x
+
20
x
+
29
x
+
12
x
# Relative Extrema: ___________
# Relative Extrema: ___________
Real Zeroes (and their multiplicity):
Real Zeroes (and their multiplicity):
Factored Form of Function:
Factored Form of Function:
( )
5
4
3
2
( )
4
3
2
3.
f x
=
x
+
4
x
18
x
108
x
135
x
4.
f x
= −
2
x
+
7
x
+
5
x
19
x
15
# Relative Extrema: ___________
# Relative Extrema: ___________
Real Zeroes (and their multiplicity):
Real Zeroes (and their multiplicity):
Factored Form of Function:
Factored Form of Function:
II.
Sketch a graph of the function WITHOUT using the calculator.
3
2
( )
(
) (
)
( )
3
(
) (
)
5.
f x
= −
2
x
+
7
x
1
6.
f x
=
x x
+
4
2
x
5
2
3
( )
2
(
) (
)
( ) (
) (
)(
)
f x
= −
x x
x
+
f x
=
x
+
x
x
7.
5
3
8.
2
1
2
5
Mrs. Paunovska
Page 1

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