Mth 112 Chapter 2 Practice Test Problems Worksheet With Answers Page 10
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12Answer Key
Testname: MTH 112 BTZ PRACTICE PROBLEMS (CH. 2)
15
3
26)
38) x = -2, x = -3, x = 3
1)
+
i
13
13
39) x = 3, x = -7,
y
y
40) 3, multiplicity 1, crosses x-axis; 2,
2) -1 + 2i
10
10
multiplicity 2, touches x-axis and
12
71
3)
-
i
turns around
61
61
5
5
5
41) -
4) f(x) = (x + 2) 2 + 2
, multiplicity 1, crosses x-axis;
2
5) h(x) = (x - 3) 2 + 3
x
x
5, multiplicity 3, crosses x-axis
-10
-10
-5
-5
5
5
10
10
6) j(x) = -x 2 + 3
42) 0, multiplicity 2, touches x-axis
-5
-5
7) (2, -2)
and turns around;
8) (-3, 4)
-1, multiplicity 1, crosses x-axis;
9) (-8, -5)
-10
-10
3, multiplicity 1, crosses x-axis;
10) (0, -5)
- 3, multiplicity 1, crosses x-axis
11) (1, 6)
27)
43) 0, multiplicity 1, crosses the x-axis
12) x = -7
y
y
- 5, multiplicity 1, crosses the
13) x = 3
10
10
x-axis
14) x = 7
4, multiplicity 1, crosses the
15) [-3, ∞)
5
5
x-axis
16) [1, ∞)
44) f(1) = -2 and f(2) = 45; yes
17) (-2, 0) and (2, 0)
45) f(1) = -9 and f(2) = 6; yes
18) (0, 0) and (2, 0)
x
x
-10
-10
-5
-5
5
5
10
10
46) f(1) = -9 and f(2) = 44; yes
19) (-5 ± 11, 0)
47) 1
-5
-5
20) (0, 0)
48) 2
21) (0, -8)
49) 6
22) Domain: (-∞, ∞)
-10
-10
50)
Range: [-4, ∞)
y
y
28)
20
20
23) Domain: (-∞, ∞)
Range: (-∞, -6]
16
16
y
y
24) Domain: (-∞, ∞)
12
12
10
10
Range: (-∞, -6]
8
8
25)
4
4
5
5
y
y
x
x
-8
-8
-6
-6
-4
-4
-2
-2
2
2
4
4
6
6
8
8
10
10
-4
-4
x
x
-10
-10
-5
-5
5
5
10
10
-8
-8
-12
-12
5
5
-5
-5
-16
-16
-20
-20
-10
-10
x
x
-10
-10
-5
-5
5
5
10
10
y
y
100
100
29) minimum; - 1, - 8
-5
-5
80
80
3
30) maximum;
, 9
60
60
2
-10
-10
40
40
31) falls to the left and falls to the
right
20
20
32) falls to the left and rises to the
-10 -8
-10 -8
-6
-6
-4
-4
-2
-2
2
2
4
4
6
6
8
8
right
-20
-20
33) rises to the left and rises to the
-40
-40
right
-60
-60
34) falls to the left and falls to the
-80
-80
right
35) x = 0, x = - 5, x = 4
-100
-100
51)
36) x = -1, x = 1, x = - 8
37) x = 0, x = -2
10
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