Exponential Functions Flashcards

1
Q

No a or k, so the log will be one at

A

The base

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2
Q

Compound interest formula

A

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

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3
Q

Biennually

A

Once every two years

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4
Q

What does the base dictate

A

How sharp the curve is

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5
Q

Whats at x=0

A

The y axis

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6
Q

Whats at y=0

A

The x axis

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7
Q

PH formula

A

-log(H+)

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8
Q

Decibel formula

A

β2-β1=10log(I2/I1)

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9
Q

Restrictions for the base of a log function

A

B is greater than zero and not one

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10
Q

Power rule

A

Log(x^n)=nlogx

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11
Q

Product rule

A

Log of two numbers multiplied is the log of each number added

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12
Q

Quotient rule

A

Logs of x and y subtracted is the log of x/y

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13
Q

How doed the domain and range change under a vertical reflection

A

They dont

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14
Q

How does the domain and range change under a horizontal reflection

A

The range doesnt but the domain does

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15
Q

Log of base to a power rule

A

Log(b)b^k is k

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16
Q

Prove the rules

A

The change of base is the Log of a transformed log
The quotient is division of two transformed logs
The product is the product of two transformed logs
The power rule is a power of two transformed logs