CLEP FORMULAS Flashcards
(111 cards)
1
Q
Standard Form of a Line
A
2
Q
Point-Slope Formula
A
3
Q
Slope Intercept Form
A
4
Q
Slope Formula
A
5
Q
Distance Formula
A
6
Q
Midpoint Formula
A
7
Q
General Form for a Quadratic
A
8
Q
Vertex (Standard) Form for a Quadratic
A
9
Q
Quadratic Formula
A
10
Q
Vertex of a Parabola
A
11
Q
Equation of a Circle
A
12
Q
Difference of Squares
A
13
Q
Sum of Squares
A
Prime
14
Q
Difference of Cubes
A
15
Q
Sum of Cubes
A
16
Q
A
1
17
Q
A
Undefined
18
Q
A
19
Q
A
20
Q
A
21
Q
A
22
Q
A
23
Q
A
24
Q
A
25
26
27
28
29
1
30
x
31
Change to Exponential Form
32
0
33
undefined
34
x
35
36
37
Change of Base Formula
38
39
40
1
41
x
42
0
43
44
45
46
Simple Interest Formula
47
Exponential Growth
48
Exponential Decay
49
Compound Interest Formula
50
Continuous Compound Interest Formula
51
Recursive Arithmetic Sequence Formula Generator
52
Recursive Geometric Sequence Formula Generator
53
Explicit Arithmetic Sequence Generator
54
Explicit Geometric Sequence Formula Generator
55
Arithmetic Series Formula
56
Finite Geometric Series Formula
57
Infinite Geometric Series Formula
If r is between 0 and 1 only, then
58
If an infinite geometric series has a common ratio \> 1, then the series is
divergent, no sum
59
If an infinite geometric series has a ratio that is between 0 and 1, then
the series is convergent.
60
Identify the slope and the y-intercept for
61
Name the parent function for y=x3
Cubic
62
Name the parent function for y = x
Linear
63
Name the parent function for y=x2
Quadratic
64
Name the parent function for y=x3
Cubic
65
Name the parent function y=x5
Quintic
66
{x|-3
Set-Builder
67
What kind of notation is the following?
Interval Notation
68
Equation for a horizontal line
y=#
69
Equation for a vertical line
x=#
70
How do you know if a relation is a function?
A function either passes the vertical line test or each input has exactly one output.
71
When do you use a Horizontal Line test?
To determine if an inverse is also a function.
72
How do you prove that two functions are inverses of one another?
1. Graphing and having symmetry to the y=x axis.
2. Use the composition functions to see if they are both = to x.
73
What kind of line has a slope that is equal to 0?
Horizontal line
74
What kind of line has a slope that is undefined?
Vertical Line
75
Create Pascal's Triangle to 7 rows.
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1
1 7 21 35 35 21 7 1
76
What is a discriminant?
77
If b2-4ac\>0, what type of solutions will result in a quadratic equation?
2, real, rational or irrational roots
78
If b2-4ac\<0, what type of solutions will result in a quadratic equation?
Two complex conjugates
79
If b2-4ac=0, what type of solutions will result in a quadratic equation?
One real rational root that has a multiplicity of 2
80
*i256*
*i*
81
What is a determinant?
82
What is the formula for the absolute value parent function?
83
Direct Variation
84
Inverse Variation
85
Joint Variation
86
Combined Variation
87
Graph of the Absolute Value Parent Function
88
Graph of the Linear Parent Function
89
Graph of the Quadratic Parent Function
90
Graph of the Cubic Parent Function
91
Graph of the Square Root Parent Function
92
Graph of the Cube Root Parent Function
93
Graph of the Greatest Integer Parent Function
94
Graph of the Rational (Reciprocal) Function
95
96
-1
97
98
1
99
conjugate of
100
101
Graph of the Logarithmic Parent Function
102
Parent Graph of the Natural Logarithmic Function
103
Parent Graph of the Natural Exponential Function
104
Parent Graph of the Exponential Function
105
How do you find the x-intercept of a rational function?
Simplify first, then set the numerator = 0 and solve for the variable.
106
How do you find the y-intercept of a Rational Function?
Simplify first, then plug in 0 for x and solve for y.
107
How do you find the vertical asymptotes of a rational function?
Simplify first, then set the denominator = 0 and solve for the variable.
108
How do you find a Horizontal Asymptote for a Rational Function?
1. If the numerator degree is greater than the denominator degree, there is no horizontal asymptote.
2. If the numerator degree is less than the denominator degree, the horizontal asymptote is y = 0.
3. If the numerator degree is equation to the denominator degree, then the horizontal asymptote is y= leading coefficient of the numerator divided by the leading coefficient of the denominator.
109
How do you know if you have a slant asymptote in a rational function?
The numerator degree is 1 greater than the denominator exponent.
110
How do you find a slant asymptote?
Long Division
111
How do you find a hole in a Rational Function?
Simplify first. If there are any common factors of the numerator and the denominator, the x-value of the hole is the canceled factor. Set canceled factor = 0 and solve for the x-value. Then, plug in the x into the simplified equation to find the y-value of the hole. Answer is in the form of (x, y).
