Beom

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Beom
Beom
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Cards (30)

Domain 
The set of first coordinates in an ordered pair
Range 
The set of second coordinates in an ordered pair
Finding domain and range from ordered pairs
1. Identify the set of x-values (domain)
2. Identify the set of y-values (range)
Relation 
A set of ordered pairs
Function 
A relation in which each element of the domain corresponds to exactly one element of the range
Ordered pair relations 
Relation F (1, 2), (2, 2), (3, 5), (4, 5) - is a function
Relation G (1, 3), (1, 4), (2, 5), (2, 6), (3, 7) - is not a function
Relation H (1, 3), (2, 6), (3, 9), (n, 3n) - is a function
Identifying functions from ordered pairs
Each x-value (domain) corresponds to only one y-value (range)
Mapping diagrams 
Diagram 1 - is a function
Diagram 2 - is not a function
Diagram 3 - is a function
Vertical line test 
A graph represents a function if and only if each vertical line intersects the graph at most once
Graphs 
Graph 1 - is a function
Graph 2 - is not a function
Graph 3 - is not a function
Equations 
y = 2x + 1 - is a function
x^2 + y^2 = 1 - is a function
x^2 + y - 4 = 0 - is a function
y = sqrt(x + 1) - is a function
y = 2x + 1 / (x - 1) - is a function
x^2 + y^2 = 1 - is not a function
Vertical line test 
A method to determine if a graph represents a function
Vertical line test 
Small alum points
Tata man one two three four five six
A big civilian that is not a function
Function 
A relationship where each input has exactly one output
How to identify if a graph is a function or not
1. Digitized Salus representation
2. Use equation
Equations to determine if they represent a function
y = 2x + 1
x^2 + y^2 = 1
x^2 + y - 4 = 0
y = x^2 - 2x + 2
y = √(x + 1)
y = 2x + 1 / (x - 1)
Linear equation 
A function because the graph is a straight line
Quadratic equation 
A function because the graph is an upward parabola
Rational equation 
A function because the graph has no vertical asymptotes
x^2 + y^2 = 1 is not a function
How to determine if x^2 + y^2 = 1 is a function
1. Solve for y in terms of x
2. Use the square root method
Functions can be represented using ordered pairs
Functions pass the vertical line test
Ways to check if a relationship is a function 
Use ordered pairs
Use mapping diagram
Use vertical line test
Graph the equation
Linear and quadratic equations are functions, but x^2 + y^2 = 1 is not a function
Desmos is a graph application that can be used to visualize equations
Periodic Table
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
16 17 18
2
H
1.008
3
4
Be
Li
6.94
11
9.0122
12
Na Mg
22.990 24.305
He
4.0026
SBORN
5
6
7
8
9
10
C N
Ne
10.81
12.011 14.007 15.999 18.998 20.180
13
14
15
ΑΙ Si
P
SS
16
17
18
CI Ar
26.982 28.085 30.974 32.06 35.45 39.948
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
K
Ca Sc Ti
V
Cr
Mn Fe Co
Ni Cu
Zn
Ga
39.098 40.078 44.956 47.867 50.942 51.996 54.938 55.845 58.933 58.693 63.546 65.38
69.723
37
38
39
40
41
42
43
44
45
46
47
48
49
Ge As Se
72.630 ||74.922|| 78.971
50
Br Kr
79.904| 83.798
51
52
53
54
Rb
Sr
Y
Zr Nb Mo
85.468 87.62 88.906 91.224
55
56
71
72
92.906
73
95.95
74
Tc Ru
96.906 101.07
75
76
77
Rh Pd
102.91 106.42
78
Ag Cd
In Sn
107.87 112.41 114.82 118.71
79
80
81
82
Sb Te
Xe
121.76 127.60 126.90 131.29
83
84
85
86
Cs
87
Ba Lu Hf
132.91 137.33 174.97 178.49
88
103
104
105
Fr
87
Ra Lr Rf
Bh Hs Mt Ds
223.02 226.03 262.11 267.12 270.13 269.13 270.13 269.13 278.16 281.17
Ta
W
Re Os
Ir
Pt
Au Hg TI Pb
180.95 183.84 186.21 190.23 192.22 195.08 196.97 200.59 204.38 207.2
106
109
110
111 112
113 114
Bi Po At Rn
208.98 208.98 209.99 222.02
115 116
117 118
Sg
Rg
Rg Cn Nh
FI Mc Lv Ts Og
281.17 285.18 286.18 289.19 289.20 293.20 293.21 294.21
57
La
58
59
60
61
62
63
64
65
66
67
68
69
70
Ce Pr
Eu Gd Tb
138.91 140.12 140.91 144.24 144.91 150.36 151.96 157.25
89
90
91
92
93
94
95
96
Nd Pm Sm
Dy Ho Er
Tm Yb
97
158.93 162.50 164.93 167.26 168.93 173.05
98
99 100 101 102
U
Ac Th Pa
227.03 232.04 231.04 238.03 237.05 244.06 243.06 247.07 247.07 251.08 252.08 257.10 258.10 259.10
Np Pu Am Cm Bk Cf Es
Fm Md No
© Mark Winter