Missed Formulas Flashcards

1
Q

lne

A

1

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2
Q

joint variation

A

y=kx

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3
Q

b^2-4ac<0

A

2 complex conjugates

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4
Q

Recursive Arithmetic Sequence Formula Generator

A

A1=#

An=An-1+d

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5
Q

Recursive Geometric Sequence Formula Generator

A

A1=#

An=rn-1

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6
Q

Arithmetic Series Formula

A

Sn=n(A1+An/2)

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7
Q

Infinite Geometric Series

A

Sn=An/1-r

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8
Q

Compound Interest Formula

A

A=P(1+r/n)^nt

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9
Q

Continous Compound Interest

A

A+Pe^rt

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10
Q

|a-bi|

A

square root of a^2+b^2

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11
Q

b^2-4ac=0

A

One real rational root that has a multiplicity of 2

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12
Q

Difference of Cubes

A

(x^3-y^3)=(x-y)(x^2+xy+y^2)

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13
Q

Vertex Form of a Quadratic

A

f(x)=a(x-h)^2+k

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14
Q

Inverse Variation

A

y=k/x

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15
Q

What kind of line has a slope that is undefined?

A

vertical

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16
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.

17
Q

Discriminant

A

b^2-4ac

18
Q

Linear parent function

A

Diagonal line

19
Q

Absolute Value Parent Function

A

V

20
Q

Greatest Integer Graph

A

Step Function

21
Q

Reciprocal (rational) Parent Function

A

)( in II and IV quadrant

22
Q

Cube Root Parent Function

A

Un in II and IV quadrant

23
Q

Parent Graph of the Natural Logarithmic Function

A

r starting in III quadrant and is mostly in the II quadrant

24
Q

Parent Graph of the Natural Exponential Function

A

J starting in I and end ends in II. Asymptote is at 0

25
Q

Graph of the Logarithmic Parent Function

A

r starting in III and ending in IV. Vert asym at O

26
Q

Parent function for y=x

A

linear

27
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.

28
Q

Determinant

A

|a b|
|c d|
=ad-cb