Math 3 Ch.3.1 3.8 v01 NO NOTES/YES CALCUATOR NameMath 141 Exam 3 Preparation Ch.3.1 to 3.8 v01 NO...
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Math 141 Exam 3 Preparation Ch.3.1 to 3.8 v01 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, 4) y-intercept: (0, 3) 2) 1 of 26
Transcript of Math 3 Ch.3.1 3.8 v01 NO NOTES/YES CALCUATOR NameMath 141 Exam 3 Preparation Ch.3.1 to 3.8 v01 NO...
Math 141
Exam 3 Preparation Ch.3.1 to 3.8 v01
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, 4)y-intercept: (0, 3)
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
(2, -3)
(0, 1)
x-5 5
y5
-5
(2, -3)
(0, 1)
5)
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6)
x-5 5
y5
-5
(-1, -2)
(0, -1)x-5 5
y5
-5
(-1, -2)
(0, -1)
6)
Solve the problem.
7) You have 104 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 80 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 84 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 96 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) = 4x2 - 32x + 144. 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 + 32. 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 - 4; x - 1 13)
14) 3x4 - 5x2 - 1; x + 1
214)
15) 2x4 + 2x2 - 1; x - 1
315)
16) x5 - 3x4 - 13x3 + 17x2 - 7x - 13; x - 5 16)
17) x5 - 3x4 - 13x3 + 18x2 - 17x + 11; x - 5 17)
18) 3x4 + 3x2 - 1; x - 1
218)
19) 2x4 - 3x2 - 1; x + 1
419)
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Use the Factor Theorem to determine whether the linear polynomial is a factor of the second polynomial.
20) x - 5; x3 - 15x2 + 71x - 105 20)
21) x - 5; x3 + 12x2 + 23x - 36 21)
22) x - 2; x3 + 12x2 + 27x - 40 22)
23) x + 3; x3 - 7x2 - 9x + 63 23)
24) x + 4; x3 - 6x2 - 19x + 84 24)
25) x + 5; x3 - 5x2 - 29x + 105 25)
26) x + 5; x3 - 11x2 + 12x + 80 26)
27) x + 3; x3 - 10x2 + 10x + 72 27)
28) x - 2; x3 - 10x2 + 31x - 30 28)
5 of 26
Find the set of possible rational zeros given the function.
29) f(x) = 3x3 + 55x2 + 55x + 27 29)
30) f(x) = 2x3 + 5x2 + 13x - 8 30)
31) f(x) = 3x3 + 64x2 + 64x + 27 31)
32) f(x) = 3x3 + 57x2 + 57x + 27 32)
33) f(x) = 2x3 - 5x2 + 7x - 7 33)
34) f(x) = 2x3 - 5x2 + 7x - 23 34)
35) f(x) = 2x3 - 5x2 + 7x - 11 35)
36) f(x) = 26x7 + 104x3 + 2x - 13 36)
37) f(x) = 10x7 + 40x3 + 2x - 5 37)
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Write the expression in the standard form a + bi.
38) i16 38)
39) i12 39)
40) i8 40)
41) i7 41)
42) i11 42)
43) i5 43)
44) i4 44)
45) i13 45)
46) i17 46)
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47) i21 47)
48) i10 48)
49) i14 49)
50) i22 50)
51) 2i15 - i7 51)
52) 5i5(1 + i3) 52)
53) (1 + i)7 53)
54) i14 + i12 + i10 + 1 54)
55) i18 + i16 + i14 + 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 = (5 + 6i) amperes and Z = (6 + 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 = (16 + i) amperes and Z = (2 + 4i) 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 - 6i) volts and current is I = -10i 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 = (6 - 3i) ohms and voltage is V = 10i 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 = (8 - 5i) ohms and Z2 = (-8 + 4i)
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 - 32x2 - 144; zero: -2i 61)
62) f(x) = x4 - 45x2 - 196; zero: -2i 62)
63) f(x) = x3 + 2x2 - 6x + 8; zero: 1 + i 63)
64) f(x) = x3 + 7x2 - 16x + 18; 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 + 7x2 + 19x + 13; zero: -3 + 2i 67)
68) f(x) = x3 + 5x2 + 17x + 13; zero: -2 + 3i 68)
69) f(x) = 2x4 - 17x3 + 59x2 - 83x + 39; zero: 3 + 2i 69)
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70) f(x) = 3x4 - 25x3 + 83x2 - 103x + 26; 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 + 9
x - 273)
74) g(x) = x + 6
x - 374)
75) h(x) = x2 - 100
(x - 2)(x + 6)75)
76) h(x) = x2 - 100
(x - 4)(x + 9)76)
77) f(x) = x2 + 5x
x2 - 2x - 3577)
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78) f(x) = x2 + 3x
x2 - 2x - 1578)
79) f(x) = x - 1
x2 + 279)
Find the horizontal asymptote(s), if any, of the graph of the rational function.
80) g(x) = x2 + 8x - 2
x - 280)
81) g(x) = x2 + 9x - 2
x - 281)
82) g(x) = x + 1
x2 - 982)
83) g(x) = x + 3
x2 - 983)
84) h(x) = -3x - 4
4x - 584)
85) h(x) = -3x - 1
5x + 785)
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86) g(x) = 4x2 - 4x - 4
8x2 - 3x + 586)
87) g(x) = 8x2 - 6x - 3
9x2 - 3x + 787)
88) g(x) = 9x2 - 7x - 9
2x2 - 4x + 688)
89) g(x) = 3x2 - 4x - 8
7x2 - 9x + 689)
90) g(x) = 9x2 - 8x - 9
3x2 - 7x + 690)
91) g(x) = x + 1
x2 - 791)
92) g(x) = x + 1
x2 - 892)
93) h(x) = x2 - 4
x + 293)
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94) h(x) = x2 - 36
x + 694)
95) f(x) = 5x2 + 9x - 5
2x3 - 3x + 895)
96) f(x) = 3x2 + 9x - 3
5x3 - 4x + 1096)
Graph the rational function and find the intercepts.
97) f(x) = 3x
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
97)
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98) f(x) = 2x
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 - 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
99)
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100) f(x) = x
x2 - 9
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
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
101)
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102) g(x) = x2
25 - 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 - 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
103)
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104) h(x) = -3x2
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
104)
105) f(x) = 4
x2 - 7
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) = 3
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 - 4
(x - 1)(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
107)
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108) g(x) = x - 2
(x - 4)(x + 7)
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 + 9
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 - 16
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
111)
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112) f(x) = x2 - 16
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
112)
113) g(x) = (x - 4)2
x - 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
113)
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114) g(x) = (x - 5)2
x - 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
114)
115) h(x) = (x - 4)(x + 4)(x - 2)
(x - 4)(x + 4)(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
115)
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116) h(x) = (x - 3)(x + 3)(x - 1)
(x - 3)(x + 3)(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 + 15 > 0 117)
118) x2 - 9x + 14 > 0 118)
119) x2 - 2x - 15 < 0 119)
120) x2 - 4x - 21 < 0 120)
121) 6x5 < 60x3 121)
122) 5x5 < 15x3 122)
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123) x3 ≥ 8x2 123)
124) x3 ≥ 5x2 124)
125) x3 ≥ 8 125)
126)x - 3
x + 9 < 0 126)
127)x - 1
x + 7 < 0 127)
128)x - 8
x + 2 < 1 128)
129)x - 9
x + 2 < 1 129)
130)x - 9
x + 7 < 1 130)
131)x
x - 6 < 3 131)
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132)x - 1
x + 8 > 0 132)
133)x + 17
x + 7 < 5 133)
134)x + 13
x + 8 < 3 134)
135)(x - 7)(x + 7)
x ≤ 0 135)
136)(x - 4)(x + 4)
x ≤ 0 136)
137)(x + 8)(x - 6)
x - 1 ≥ 0 137)
138)(x + 5)(x - 2)
x - 1 ≥ 0 138)
26 of 26
Answer KeyTestname: E3PREP3.1TO3.8V01
1) f(x) = -x2 - 2x + 8
2) f(x) = -x2 + 2x + 3
3) f(x) = -x2 - 2x + 3
4) f(x) = 2x2 + 4x + 1
5) f(x) = x2 - 4x + 1
6) f(x) = x2 + 2x - 17) length: 52 ft, width: 26 ft
8) length: 40 ft, width: 20 ft
9) length: 42 ft, width: 21 ft
10) length: 48 ft, width: 24 ft
11) 4 thousand automobiles
12) 2 thousand automobiles
13) quotient: x2 + x + 1; remainder: -3
14) quotient: 3x3 - 3
2x2 -
17
4x +
17
8; remainder: -
33
16
15) quotient: 2x3 + 2
3x2 +
20
9x +
20
27; remainder: -
61
81
16) quotient: x4 + 2x3 - 3x2 + 2x + 3 ; remainder: 2
17) quotient: x4 + 2x3 - 3x2 + 3x - 2 ; remainder: 1
18) quotient: 3x3 + 3
2x2 +
15
4x +
15
8; remainder: -
1
16
19) quotient: 2x3 - 1
2x2 -
23
8x +
23
32; remainder: -
151
128
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, ±7, ± 1
2, ±
7
2
34) ±1, ±23, ± 1
2, ±
23
2
35) ±1, ±11, ± 1
2, ±
11
2
27 of 26
Answer KeyTestname: E3PREP3.1TO3.8V01
36) ±1, ± 1
2, ±13, ±
13
2, ±
1
13, ±
1
26
37) ±1, ± 1
2, ±5, ±
5
2, ±
1
5, ±
1
10
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) 8 - 8i54) 0
55) 0
56) (-18 + 76i) volts
57) (28 + 66i) volts
58)3
5 +
3
10i ohms
59) - 2
3 +
4
3i amperes
60) - 72 - 44i ohms
61) 2i, 6, -6
62) 2i, 7, -7
63) 1 - i, -4
64) 1 - i, -9
65) 3 + 2i, 3 - 2i
66) 3 + 2i, 3 - 2i
67) -3 - 2i, -1
68) -2 - 3i, -1
69) 3 - 2i, 1, 3
2
70) 3 - 2i, 2, 1
3
71) -2, -3i, -4 - i, -4 + i
72) -2, -3i, -4 - i, -4 + i
73) x = 2
74) x = 3
75) x = 2, x = -6
76) x = 4, x = -9
77) x = 7
78) x = 5
28 of 26
Answer KeyTestname: E3PREP3.1TO3.8V01
79) no vertical asymptote
80) no horizontal asymptote
81) no horizontal asymptote
82) y = 0
83) y = 0
84) y = - 3
4
85) y = - 3
5
86) y = 1
2
87) y = 8
9
88) y = 9
2
89) y = 3
7
90) y = 3
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: E3PREP3.1TO3.8V01
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: E3PREP3.1TO3.8V01
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: E3PREP3.1TO3.8V01
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
7
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: - 3
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
32 of 26
Answer KeyTestname: E3PREP3.1TO3.8V01
107) x-intercept: 4. y-intercept: 2
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
108) x-intercept: 2. y-intercept: 1
14.
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: E3PREP3.1TO3.8V01
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: ±4. y-intercept: 16
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
112) x-intercept: ±4. y-intercept: 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
34 of 26
Answer KeyTestname: E3PREP3.1TO3.8V01
113) no x-intercept. y-intercept: -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
114) no x-intercept. y-intercept: -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
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: E3PREP3.1TO3.8V01
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) (-∞, -5) ∪ (-3, ∞)
118) (-∞, 2) ∪ (7, ∞)
119) (-3, 5)
120) (-3, 7)
121) (-∞, - 10) ∪ (0, 10)
122) (-∞, - 3) ∪ (0, 3)
123) [8, ∞)
124) [5, ∞)
125) [2, ∞)
126) (-9, 3)
127) (-7, 1)
128) (-2, ∞)
129) (-2, ∞)
130) (-7, ∞)
131) (-∞, 6) ∪ 9, ∞
132) (-∞, -8) ∪ (1, ∞)
133) (-∞, -7) ∪ - 9
2, ∞
134) (-∞, -8) ∪ - 11
2, ∞
135) (-∞, -7] ∪ (0, 7]
136) (-∞, -4] ∪ (0, 4]
137) [-8, 1) ∪ [6, ∞)
138) [-5, 1) ∪ [2, ∞)
36 of 26
