Sulpcegu5e ppt 4_2
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Section 4.2 Properties of Rational Functions
Transcript of Sulpcegu5e ppt 4_2
Section 4.2
Properties of Rational Functions
OBJECTIVE 1
2
2
2 2
2
Find the domain of the following rational functions:
4 6(a) (b)
4 8 12
5 9 4(c) (d) (e)
2 3 2
x xR x R x
x x x
x x xR x R x R x
x x
2
1Graph the rational function: 2
3R x
x
OBJECTIVE 2
x
xxR
3
5 2
22
3
xx
xxH
45
12
xx
xxF
2
2
3 2
4
x xG x
x
OBJECTIVE 3
2
Find the horizontal asymptotes, if any, of the graph of
3
2 5
xR x
x x
2
2
Find the horizontal or oblique asymptotes, if any, of the graph of
2 7 1
2
x xH x
x
6 3
6 5 4 3
Find the horizontal or oblique asymptotes, if any, of the graph of
5 4 3
2 5 8 7 2
x xR x
x x x x
2
Find the horizontal or oblique asymptotes, if any, of the graph of
4 1
2
x xG x
x