Mth 112 Chapter 2 Practice Test Problems Worksheet With Answers Page 5
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12Use the graph of the rational function shown to complete the
85)
statement.
y
y
10
10
82)
8
8
y
y
10
10
6
6
8
8
4
4
6
6
2
2
4
4
x
x
-10 -8 -6 -4 -2
-10 -8 -6 -4 -2
2 4 6 8 10
2 4 6 8 10
2
2
-2
-2
-4
-4
x
x
-10 -8 -6 -4 -2
-10 -8 -6 -4 -2
2 4 6 8 10
2 4 6 8 10
-2
-2
-6
-6
-4
-4
-8
-8
-6
-6
-10
-10
As x→-1 - , f(x)→ ?
-8
-8
-10
-10
As x→-3 - , f(x)→ ?
Find the vertical asymptotes, if any, of the graph of the
rational function.
83)
x
86) g(x) =
x + 2
y
y
10
10
8
8
x
6
6
87) h(x) =
x(x + 3)
4
4
2
2
x
x
x
-10 -8 -6 -4 -2
-10 -8 -6 -4 -2
2 4 6 8 10
2 4 6 8 10
88) g(x) =
-2
-2
x 2 - 4
-4
-4
-6
-6
x - 25
-8
-8
89)
x 2 - 8x + 15
-10
-10
As x→+∞, f(x)→ ?
Find the horizontal asymptote, if any, of the graph of the
84)
rational function.
15x
y
y
90) f(x) =
10
10
3x 2 + 1
8
8
6
6
25x 3
4
4
91) h(x) =
2
2
5x 2 + 1
x
x
-10 -8 -6 -4 -2
-10 -8 -6 -4 -2
2 4 6 8 10
2 4 6 8 10
-2
-2
-4x + 7
-4
-4
92) h(x) =
2x - 3
-6
-6
-8
-8
-4x
-10
-10
93) f(x) =
As x→-3 + , f(x)→ ?
2x 3 + x 2 + 1
5
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