Math 3 Ch.3.1 3.8 v02 NO NOTES/YES CALCUATOR Name · Exam 3 Preparation Ch.3.1 to 3.8 v02 NO BOOK/...
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Math 141 Exam 3 Preparation Ch.3.1 to 3.8 v02 NO BOOK/ NO NOTES/YES CALCUATOR Dressler Winter 2016 Name___________________________________ Determine the quadratic function whose graph is given by first writing in standard form. Express your answer in both standard form and the form a x 2 + bx + c. 1) x -10 -5 5 10 y 10 5 -5 -10 x -10 -5 5 10 y 10 5 -5 -10 Vertex: (1, 9) y-intercept: (0, 8) 1) 2) x -10 -5 5 10 y 10 5 -5 -10 x -10 -5 5 10 y 10 5 -5 -10 Vertex: (- 1, 9) y-intercept: (0, 8) 2) 1 of 26
Transcript of Math 3 Ch.3.1 3.8 v02 NO NOTES/YES CALCUATOR Name · Exam 3 Preparation Ch.3.1 to 3.8 v02 NO BOOK/...
Math 141
Exam 3 Preparation Ch.3.1 to 3.8 v02
NO BOOK/ NO NOTES/YES CALCUATOR
Dressler Winter 2016
Name___________________________________
Determine the quadratic function whose graph is given by first writing in standard form.
Express your answer in both standard form and the form ax2 + bx + c.
1)
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
Vertex: (1, 9)y-intercept: (0, 8)
1)
2)
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
Vertex: (- 1, 9)y-intercept: (0, 8)
2)
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3)
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
Vertex: (1, 4)y-intercept: (0, 3)
3)
4)
x-5 5
y5
-5
(1, -1)
(0, 1)
x-5 5
y5
-5
(1, -1)
(0, 1)
4)
5)
x-5 5
y5
-5
(-1, -3)
(0, -2)
x-5 5
y5
-5
(-1, -3)
(0, -2)
5)
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6)
x-5 5
y5
-5
(1, 1)
(0, 3)
x-5 5
y5
-5
(1, 1)
(0, 3)
6)
Solve the problem.
7) You have 68 feet of fencing to enclose a rectangular plot that borders on a river. If you do
not fence the side along the river, find the length and width of the plot that will maximize
the area.
7)
8) You have 116 feet of fencing to enclose a rectangular plot that borders on a river. If you do
not fence the side along the river, find the length and width of the plot that will maximize
the area.
8)
9) You have 120 feet of fencing to enclose a rectangular plot that borders on a river. If you do
not fence the side along the river, find the length and width of the plot that will maximize
the area.
9)
10) You have 92 feet of fencing to enclose a rectangular plot that borders on a river. If you do
not fence the side along the river, find the length and width of the plot that will maximize
the area.
10)
11) The cost in millions of dollars for a company to manufacture x thousand automobiles is
given by the function C(x) = 3x2 - 18x + 63. Find the number of automobiles that must be
produced to minimize the cost.
11)
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12) The cost in millions of dollars for a company to manufacture x thousand automobiles is
given by the function C(x) = 3x2 - 12x + 28. Find the number of automobiles that must be
produced to minimize the cost.
12)
Use synthetic division to find the quotient and the remainder when the first polynomial is divided by the second
polynomial.
13) x3 - 5; x - 1 13)
14) 3x4 - 3x2 - 1; x - 1
214)
15) 3x4 - 2x2 - 1; x + 1
215)
16) x5 + 9x4 + 20x3 + 14x2 + 15x + 20; x + 6 16)
17) x5 - 4x4 - 15x3 + 21x2 - 21x + 19; x - 6 17)
18) 2x4 + 5x2 - 1; x - 1
318)
19) 3x4 + 4x2 - 1; x + 1
219)
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Use the Factor Theorem to determine whether the linear polynomial is a factor of the second polynomial.
20) x - 4; x3 - 14x2 + 61x - 84 20)
21) x - 2; x3 + 10x2 + 19x - 30 21)
22) x - 5; x3 + 12x2 + 23x - 36 22)
23) x + 4; x3 - 5x2 - 22x + 56 23)
24) x + 6; x3 - 3x2 - 40x + 84 24)
25) x + 5; x3 - 4x2 - 31x + 70 25)
26) x + 5; x3 - 9x2 + 8x + 64 26)
27) x + 4; x3 - 12x2 + 24x + 108 27)
28) x - 2; x3 - 8x2 + 21x - 18 28)
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Find the set of possible rational zeros given the function.
29) f(x) = 3x3 + 63x2 + 63x + 27 29)
30) f(x) = 2x3 + 7x2 + 14x - 8 30)
31) f(x) = 3x3 + 66x2 + 66x + 27 31)
32) f(x) = 3x3 + 53x2 + 53x + 27 32)
33) f(x) = 2x3 - 5x2 + 7x - 3 33)
34) f(x) = 2x3 - 5x2 + 7x - 13 34)
35) f(x) = 2x3 - 5x2 + 7x - 23 35)
36) f(x) = 22x7 + 88x3 + 2x - 11 36)
37) f(x) = 6x7 + 24x3 + 2x - 3 37)
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Write the expression in the standard form a + bi.
38) i16 38)
39) i12 39)
40) i8 40)
41) i3 41)
42) i19 42)
43) i5 43)
44) i4 44)
45) i9 45)
46) i17 46)
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47) i13 47)
48) i6 48)
49) i10 49)
50) i18 50)
51) 2i15 - i7 51)
52) 5i5(1 + i3) 52)
53) (1 + i)5 53)
54) i6 + i4 + i2 + 1 54)
55) i14 + i12 + i10 + 1 55)
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Solve the problem.
56) Ohmʹs law relates the current in a circuit, I, in amperes, the voltage of the circuit, V, in
volts, and the impedance of the circuit, Z, in ohms, by the formula Z = V
I. Find V, the
voltage of a circuit, if I = (8 + 3i) amperes and Z = (4 + 8i) ohms.
56)
57) Ohmʹs law relates the current in a circuit, I, in amperes, the voltage of the circuit, V, in
volts, and the impedance of the circuit, Z, in ohms, by the formula Z = V
I. Find V, the
voltage of a circuit, if I = (18 + i) amperes and Z = (2 + 3i) ohms.
57)
58) Ohmʹs law relates the current in a circuit, I, in amperes, the voltage of the circuit, V, in
volts, and the impedance of the circuit, Z, in ohms, by the formula Z = V
I. Find the
impedance, Z, when the voltage is V = (3 + 8i) volts and current is I = 7i amperes.
58)
59) Ohmʹs law relates the current in a circuit, I, in amperes, the voltage of the circuit, V, in
volts, and the impedance of the circuit, Z, in ohms, by the formula Z = V
I. Find the current
I when the impedance is Z = (10 - 6i) ohms and voltage is V = 9i volts.
59)
60) If two resistors are connected in parallel, the total impedance is given by ZT = Z1Z2
(Z1 + Z2).
Find the total impedance, ZT, when the impedances Z1 = (-10 + 4i) ohms and Z2 = (10
- 8i) ohms are in parallel.
Parallel Circuit
60)
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Use the given zero to find all zeros of the function.
61) f(x) = x4 - 12x2 - 64; zero: -2i 61)
62) f(x) = x4 - 32x2 - 144; zero: -2i 62)
63) f(x) = x3 + 6x2 - 14x + 16; zero: 1 + i 63)
64) f(x) = x3 + 2x2 - 6x + 8; zero: 1 + i 64)
65) f(x) = x3 - 2x2 - 11x + 52; zero: -4 65)
66) f(x) = x3 - 3x2 - 5x + 39; zero: -3 66)
67) f(x) = x3 - 2x2 + 5x + 26; zero: 2 + 3i 67)
68) f(x) = x3 - 7x2 + 19x - 13; zero: 3 + 2i 68)
69) f(x) = 2x4 - 15x3 + 45x2 - 45x + 13; zero: 3 + 2i 69)
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70) f(x) = 2x4 - 19x3 + 71x2 - 109x + 39; zero: 3 + 2i 70)
71) f(x) = x5 - 10x4 + 42x3 -124 x2 + 297x - 306; zero: 3i 71)
72) f(x) = x5 - 10x4 + 42x3 -124 x2 + 297x - 306; zero: 3i 72)
Find the vertical asymptote(s), if any, of the graph of the rational function.
73) g(x) = x + 4
x - 173)
74) g(x) = x + 6
x - 474)
75) h(x) = x2 - 100
(x - 8)(x + 6)75)
76) h(x) = x2 - 100
(x - 5)(x + 3)76)
77) f(x) = x2 + 2x
x2 - 5x - 1477)
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78) f(x) = x2 + 4x
x2 - 4x - 3278)
79) f(x) = x - 4
x2 + 879)
Find the horizontal asymptote(s), if any, of the graph of the rational function.
80) g(x) = x2 + 3x - 4
x - 480)
81) g(x) = x2 + 4x - 1
x - 181)
82) g(x) = x + 5
x2 - 182)
83) g(x) = x + 5
x2 - 283)
84) h(x) = -5x + 1
4x - 284)
85) h(x) = -5x - 3
4x - 585)
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86) g(x) = 2x2 - 5x - 5
3x2 - 9x + 986)
87) g(x) = 2x2 - 3x - 7
8x2 - 4x + 987)
88) g(x) = 6x2 - 7x - 4
8x2 - 6x + 988)
89) g(x) = 7x2 - 3x - 4
3x2 - 7x + 789)
90) g(x) = 7x2 - 9x - 4
9x2 - 6x + 490)
91) g(x) = x + 4
x2 - 991)
92) g(x) = x + 5
x2 - 592)
93) h(x) = x2 - 16
x + 493)
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94) h(x) = x2 - 9
x + 394)
95) f(x) = 3x2 + 7x - 4
2x3 - 4x + 895)
96) f(x) = 5x2 + 9x - 4
3x3 - 4x + 896)
Graph the rational function and find the intercepts.
97) f(x) = 3x
x - 2
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
97)
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98) f(x) = 4x
x - 2
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
98)
99) f(x) = x
x2 - 1
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
99)
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100) f(x) = x
x2 - 16
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
100)
101) g(x) = x2
9 - x2
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
101)
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102) g(x) = x2
1 - x2
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
102)
103) h(x) = -5x2
x2 - 1
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
103)
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104) h(x) = -5x2
x2 - 4
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
104)
105) f(x) = 4
x2 - 5
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
105)
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106) f(x) = 5
x2 - 5
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
106)
107) g(x) = x - 2
(x - 4)(x + 8)
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
107)
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108) g(x) = x - 5
(x - 2)(x + 6)
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
108)
109) h(x) = x2
x2 + 25
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
109)
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110) h(x) = x2
x2 + 4
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
110)
111) f(x) = x2 - 9
x2 - 16
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
111)
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112) f(x) = x2 - 1
x2 - 4
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
112)
113) g(x) = (x - 3)2
x - 3
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
113)
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114) g(x) = (x - 6)2
x - 6
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
114)
115) h(x) = (x - 4)(x + 4)(x - 1)
(x - 4)(x + 4)(x - 1)
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
115)
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116) h(x) = (x - 2)(x + 2)(x - 1)
(x - 2)(x + 2)(x - 1)
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
116)
Solve the inequality. Write the solution in interval notation.
117) x2 + 8x + 7 > 0 117)
118) x2 + 10x + 21 > 0 118)
119) x2 - 2x - 8 < 0 119)
120) x2 - 3x - 4 < 0 120)
121) 7x4 < 70x2 121)
122) 3x5 < 15x3 122)
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123) x3 ≥ 9x2 123)
124) x3 ≥ 7x2 124)
125) x3 ≥ 27 125)
126)x - 7
x + 8 < 0 126)
127)x - 6
x + 2 < 0 127)
128)x - 4
x + 3 < 1 128)
129)x - 3
x + 8 < 1 129)
130)x - 8
x + 7 < 1 130)
131)x
x - 4 < 4 131)
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132)x - 4
x + 7 > 0 132)
133)x + 13
x + 9 < 7 133)
134)x + 21
x + 3 < 8 134)
135)(x - 2)(x + 2)
x ≤ 0 135)
136)(x - 8)(x + 8)
x ≤ 0 136)
137)(x + 9)(x - 5)
x - 1 ≥ 0 137)
138)(x + 8)(x - 5)
x - 1 ≥ 0 138)
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Answer KeyTestname: E3PREP3.1TO3.8V02
1) f(x) = -x2 + 2x + 8
2) f(x) = -x2 - 2x + 8
3) f(x) = -x2 + 2x + 3
4) f(x) = 2x2 - 4x + 1
5) f(x) = x2 + 2x - 2
6) f(x) = 2x2 - 4x + 37) length: 34 ft, width: 17 ft
8) length: 58 ft, width: 29 ft
9) length: 60 ft, width: 30 ft
10) length: 46 ft, width: 23 ft
11) 3 thousand automobiles
12) 2 thousand automobiles
13) quotient: x2 + x + 1; remainder: -4
14) quotient: 3x3 + 3
2x2 -
9
4x -
9
8; remainder: -
25
16
15) quotient: 3x3 - 3
2x2 -
5
4x +
5
8; remainder: -
21
16
16) quotient: x4 + 3x3 + 2x2 + 2x + 3 ; remainder: 2
17) quotient: x4 + 2x3 - 3x2 + 3x - 3 ; remainder: 1
18) quotient: 2x3 + 2
3x2 +
47
9x +
47
27; remainder: -
34
81
19) quotient: 3x3 - 3
2x2 +
19
4x -
19
8; remainder: +
3
16
20) Yes
21) No
22) No
23) Yes
24) Yes
25) Yes
26) No
27) No
28) Yes
29) ±1, ± 1
3, ±3, ±9, ±27
30) ±1, ± 1
2, ±2, ±4, ±8
31) ±1, ± 1
3, ±3, ±9, ±27
32) ±1, ± 1
3, ±3, ±9, ±27
33) ±1, ±3, ± 1
2, ±
3
2
34) ±1, ±13, ± 1
2, ±
13
2
35) ±1, ±23, ± 1
2, ±
23
2
27 of 26
Answer KeyTestname: E3PREP3.1TO3.8V02
36) ±1, ± 1
2, ±11, ±
11
2, ±
1
11, ±
1
22
37) ±1, ± 1
2, ±3, ±
3
2, ±
1
3, ±
1
6
38) 1
39) 1
40) 1
41) -i
42) -i
43) i
44) 1
45) i
46) i
47) i
48) -1
49) -1
50) -1
51) -i
52) 5 + 5i
53) -4 - 4i54) 0
55) 0
56) (8 + 76i) volts
57) (33 + 56i) volts
58)8
7 -
3
7i ohms
59) - 27
68 +
45
68i amperes
60) - 30 - 17i ohms
61) 2i, 4, -4
62) 2i, 6, -6
63) 1 - i, -8
64) 1 - i, -4
65) 3 + 2i, 3 - 2i
66) 3 + 2i, 3 - 2i
67) 2 - 3i, -2
68) 3 - 2i, 1
69) 3 - 2i, 1, 1
2
70) 3 - 2i, 3, 1
2
71) -2, -3i, -4 - i, -4 + i
72) -2, -3i, -4 - i, -4 + i
73) x = 1
74) x = 4
75) x = 8, x = -6
76) x = 5, x = -3
77) x = 7
78) x = 8
28 of 26
Answer KeyTestname: E3PREP3.1TO3.8V02
79) no vertical asymptote
80) no horizontal asymptote
81) no horizontal asymptote
82) y = 0
83) y = 0
84) y = - 5
4
85) y = - 5
4
86) y = 2
3
87) y = 1
4
88) y = 3
4
89) y = 7
3
90) y = 7
9
91) y = 0
92) y = 0
93) no horizontal asymptote
94) no horizontal asymptote
95) y = 0
96) y = 0
97) x intercept: 0. y-intercept: 0.
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
29 of 26
Answer KeyTestname: E3PREP3.1TO3.8V02
98) x intercept: 0. y-intercept: 0.
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
99) x-intercept: 0. y-intercept: 0.
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
100) x-intercept: 0. y-intercept: 0.
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
30 of 26
Answer KeyTestname: E3PREP3.1TO3.8V02
101) x-intercept: 0. y-intercept: 0
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
102) x-intercept: 0. y-intercept: 0
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
103) x-intercept: 0. y-intercept: 0.
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
31 of 26
Answer KeyTestname: E3PREP3.1TO3.8V02
104) x-intercept: 0. y-intercept: 0.
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
105) No x-intercept. y-intercept: - 4
5
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
106) No x-intercept. y-intercept: - 1
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
32 of 26
Answer KeyTestname: E3PREP3.1TO3.8V02
107) x-intercept: 2. y-intercept: 1
16.
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
108) x-intercept: 5. y-intercept: 5
12.
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
109) x-intercept: 0. y-intercept: 0.
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
33 of 26
Answer KeyTestname: E3PREP3.1TO3.8V02
110) x-intercept: 0. y-intercept: 0.
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
111) x-intercept: ±3. y-intercept: 9
16.
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
112) x-intercept: ±1. y-intercept: 1
4.
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
34 of 26
Answer KeyTestname: E3PREP3.1TO3.8V02
113) no x-intercept. y-intercept: -3
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
114) no x-intercept. y-intercept: -6
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
115) No x-intercept. y-intercept: 1.
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
35 of 26
Answer KeyTestname: E3PREP3.1TO3.8V02
116) No x-intercept. y-intercept: 1.
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
x-10 -8 -6 -4 -2 2 4 6 8 10
y10
8
6
4
2
-2
-4
-6
-8
-10
117) (-∞, -7) ∪ (-1, ∞)
118) (-∞, -7) ∪ (-3, ∞)
119) (-2, 4)
120) (-1, 4)
121) (-∞, - 10) ∪ (0, 10)
122) (-∞, - 5) ∪ (0, 5)
123) [9, ∞)
124) [7, ∞)
125) [3, ∞)
126) (-8, 7)
127) (-2, 6)
128) (-3, ∞)
129) (-8, ∞)
130) (-7, ∞)
131) (-∞, 4) ∪ 16
3, ∞
132) (-∞, -7) ∪ (4, ∞)
133) (-∞, -9) ∪ - 25
3, ∞
134) (-∞, -3) ∪ - 3
7, ∞
135) (-∞, -2] ∪ (0, 2]
136) (-∞, -8] ∪ (0, 8]
137) [-9, 1) ∪ [5, ∞)
138) [-8, 1) ∪ [5, ∞)
36 of 26
