Download August 26/27

Relations and Functions
ALGEBRA 2 LESSON 2-1
Pages 59–61 Exercises
2.
4.
6. (–2, 3), (0, 1),
(2, –1), (3, –2);
domain {–2, 0, 2, 3},
range {–2, –1, 1, 3}
7. (–2, 0), (–1, 2),
9.
(0, 3), (1, 2), (2, 0);
domain {–2, –1, 0, 1,
2}, range {0, 2, 3}
11.
13. function
19. Function
27. -13, -9, -2, 5
17. Not a function
25. –2, –4, –7.5, –11
15. Function
21. Function
29.
2-1
Relations and Functions
ALGEBRA 2 LESSON 2-1
x
31. y = 39.37 ; 1.50 m
39. domain
{–3.2 x 3.2},
range {–1 y 1};
not a function
33.
35.
domain {–4, –3, –2, –1},
range {1, 2, 3, 4}
3 1 3 5
}
2 2 2 2
domain { – , , ,
range { – 1 , 1
2 2
}
37. domain {–2, –1, 0, 9},
range {2, 5, 7};
not a function
53. 7
2-1
Linear Equations
ALGEBRA 2 LESSON 2-2
Pages 67–71 Exercises
1.
3.
5.
11. -1
13. 3
1
15. − 5
17. Undefined
17
19. 5
5
21. 6 𝑋 − 𝑌 =
2-2
19
3
Linear Equations
ALGEBRA 2 LESSON 2-2
23. 𝑦 = −2
25. 5𝑥 − 𝑦 = −2
5
27. 𝑦 − 0 = 4 𝑥 − 1
4
29. 𝑦 + 1 = − 3 𝑥 − 0
7
31. 𝑦 − 9 = − 5 (𝑥 − 1)
3
33. 2
35.
−𝐴
𝐵
37. 0
Linear Equations
ALGEBRA 2 LESSON 2-2
38. y = –3x – 5
40. y = 10
39. y = 5 x + 13
2
2
41. x = 1
2-2
Linear Equations
ALGEBRA 2 LESSON 2-2
69. a. I, II did; III did not;
b. I and III
c. II
70. Vertical lines cannot
be graphed by this
method.
2-2
Linear Equations
ALGEBRA 2 LESSON 2-2
3
2
74. y = – x – 1
79. yes
80. no
81. a.
75. 3x – 2y = 2
76. 9x + 3y = 2
77. 3x + 12y = –4
78. a–e. Check students’ work.
The polygon is a rectangle.
b. y = 3x + 6
c. y = – 1 x + 8
3
3
d. They are
perpendicular.
2-2
82. The equation of the
line connecting (1, 3)
to (–2, 6) is
y = –x + 4. The
equation of the line
connecting (1, 3) to
(3, 5) is y = x + 2.
The slopes are
negative reciprocals
so the lines are
perpendicular.
Therefore by def. of
a right triangle it is a
right triangle.
Linear Equations
ALGEBRA 2 LESSON 2-2
83. The slope of the line
connecting (2, 5) to
(4, 8) is 3 , (2, 5) to
2
84. p: y = 4x + 16
q: y = – 1 x + 13
4
4
90. B
r:y=4
(5, 3) is – 2 , (4, 8) to
91. domain {–2, 1, 2, 3, 4},
range {–2, –1, 2, 3};
not a function
3
(7, 6) is – 2 , and
3
(5, 3) to (7, 6) is 3 .
2
Since the adjacent
sides’ slopes are
negative reciprocals
they are
perpendicular. By
the def. of a
rectangle, it is a
rectangle.
89. C
92. domain {all reals},
range {all reals};
function
85. A
86. G
93. domain {–3, 0, 1, 7},
range {–10, –5, –1, 3};
not a function
87. C
88. B
2-2