POLYNOMIAL & RATIONAL FUNCTIONS
(1.6)
NAME_______________________________
1. Consider the function
654
3 2
( )
2
8
14
11
28
12
yx
x
x
x
x
x
x
=− − +
+
− +
A. Plot
in the window
,
.
()
34
x
−≤ ≤
50
100
y
−≤≤
3
2
1
0
1
2
3
4
B. Find the zeros of
.
C. Express
in factored form.
2. Create a possible equation for the polynomial graphed below. Include the sign of the leading coefficient.

6

5

4

3

2

1012345
3. Solve for
h
as a function of
s
and simplify:
0.25
0.75
8
swh
=
4. Create equations of rational functions with the following characteristics:
A. A horizontal asymptote of
and a vertical asymptote of
2
y
=
4
x
=
.
B. No horizontal and no vertical asymptotes.
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View Full Document5. Match the function expressed in words with a graph and an equation. Find the horizontal asymptote for each,
A. Average cost of producing
x
items.
B. The oxygen content in a lake after dumping in fertilizer as a function of time. (The oxygen content decreases at
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 Fall '08
 Grether
 Polynomials, Rational Functions, Limit of a function, horizontal asymptote, oxygen content

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