# CLEP FORMULAS Flashcards

1
Q
A

undefined

2
Q

How do you know if you have a slant asymptote in a rational function?

A

The numerator degree is 1 greater than the denominator exponent.

3
Q

How do you find the y-intercept of a Rational Function?

A

Simplify first, then plug in 0 for x and solve for y.

4
Q
A

x

5
Q
A
6
Q
A
7
Q

Graph of the Quadratic Parent Function

A
8
Q

i256

A

i

9
Q

How do you prove that two functions are inverses of one another?

A
1. Graphing and having symmetry to the y=x axis.
2. Use the composition functions to see if they are both = to x.
10
Q

How do you know if a relation is a function?

A

A function either passes the vertical line test or each input has exactly one output.

11
Q

How do you find a slant asymptote?

A

Long Division

12
Q

Graph of the Cube Root Parent Function

A
13
Q
A
14
Q

Continuous Compound Interest Formula

A
15
Q

Explicit Geometric Sequence Formula Generator

A
16
Q

If b2-4ac>0, what type of solutions will result in a quadratic equation?

A

2, real, rational or irrational roots

17
Q

Vertex (Standard) Form for a Quadratic

A
18
Q
A

0

19
Q

Joint Variation

A
20
Q
A
21
Q
A
22
Q
A
23
Q

Parent Graph of the Natural Logarithmic Function

A
24
Q

What is a determinant?

A
25
Q

Difference of Squares

A
26
Q

Point-Slope Formula

A
27
Q
A

x

28
Q
A
29
Q

What is the formula for the absolute value parent function?

A
30
Q
A
31
Q
A
32
Q

Exponential Decay

A
33
Q

Midpoint Formula

A
34
Q

What kind of notation is the following?

A

Interval Notation

35
Q

Name the parent function for y = x

A

Linear

36
Q

conjugate of

A
37
Q

A
38
Q

If an infinite geometric series has a ratio that is between 0 and 1, then

A

the series is convergent.

39
Q
A
40
Q

Difference of Cubes

A
41
Q

Parent Graph of the Exponential Function

A
42
Q

Sum of Cubes

A
43
Q
A
44
Q

Graph of the Greatest Integer Parent Function

A
45
Q

Equation for a vertical line

A

x=#

46
Q

Inverse Variation

A
47
Q
A
48
Q

Graph of the Rational (Reciprocal) Function

A
49
Q

Exponential Growth

A
50
Q
A

1

51
Q
A
52
Q

Equation for a horizontal line

A

y=#

53
Q

Recursive Arithmetic Sequence Formula Generator

A
54
Q

Recursive Geometric Sequence Formula Generator

A
55
Q
A

-1

56
Q
A
57
Q

Name the parent function for y=x3

A

Cubic

58
Q

Equation of a Circle

A
59
Q

Explicit Arithmetic Sequence Generator

A
60
Q
A

0

61
Q

Name the parent function for y=x2

A

62
Q

Identify the slope and the y-intercept for

A
63
Q

Graph of the Square Root Parent Function

A
64
Q

What kind of line has a slope that is equal to 0?

A

Horizontal line

65
Q

Graph of the Linear Parent Function

A
66
Q

Direct Variation

A
67
Q

When do you use a Horizontal Line test?

A

To determine if an inverse is also a function.

68
Q
A
69
Q

Vertex of a Parabola

A
70
Q

How do you find the x-intercept of a rational function?

A

Simplify first, then set the numerator = 0 and solve for the variable.

71
Q

Infinite Geometric Series Formula

A

If r is between 0 and 1 only, then

72
Q

Sum of Squares

A

Prime

73
Q

How do you find a Horizontal Asymptote for a Rational Function?

A
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.
74
Q

Change of Base Formula

A
75
Q

Combined Variation

A
76
Q
A

x

77
Q

Graph of the Logarithmic Parent Function

A
78
Q

If an infinite geometric series has a common ratio > 1, then the series is

A

divergent, no sum

79
Q

Finite Geometric Series Formula

A
80
Q

A
81
Q
A

Undefined

82
Q

Standard Form of a Line

A
83
Q
A
84
Q
A
85
Q

Simple Interest Formula

A
86
Q
A

1

87
Q

Slope Intercept Form

A
88
Q
A
89
Q

How do you find the vertical asymptotes of a rational function?

A

Simplify first, then set the denominator = 0 and solve for the variable.

90
Q

Distance Formula

A
91
Q

Change to Exponential Form

A
92
Q

Graph of the Absolute Value Parent Function

A
93
Q

Name the parent function y=x5

A

Quintic

94
Q

Slope Formula

A
95
Q
A

1

96
Q
A
97
Q

If b2-4ac<0, what type of solutions will result in a quadratic equation?

A

Two complex conjugates

98
Q
A

1

99
Q

How do you find a hole in a Rational Function?

A

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).

100
Q

What kind of line has a slope that is undefined?

A

Vertical Line

101
Q

If b2-4ac=0, what type of solutions will result in a quadratic equation?

A

One real rational root that has a multiplicity of 2

102
Q

Name the parent function for y=x3

A

Cubic

103
Q

{x|-3

A

Set-Builder

104
Q

Arithmetic Series Formula

A
105
Q

What is a discriminant?

A
106
Q
A
107
Q

Parent Graph of the Natural Exponential Function

A
108
Q

Compound Interest Formula

A
109
Q

Graph of the Cubic Parent Function

A
110
Q
A
111
Q

Create Pascal’s Triangle to 7 rows.

A

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