Chapter 4 - Exponential and Logarithmic Functions Flashcards

1
Q

Exponential parent function

A

f(x)=b^x

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2
Q

What makes a growth function (f(x)=b^x)

A

if b > 1

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3
Q

What makes a decay function (f(x)=b^x)

A

if 0 < b < 1

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4
Q

Compound interest formula

A

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

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5
Q

e =

A

(1 + 1/n ) ^n

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6
Q

Exponential Parent Function

A

f(x) = e^x

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7
Q

Continuously Compounding Interest

A

A(t) = Pe^rt

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8
Q

logbx=y if

A

by=x

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9
Q

Common Logarithm

A

log x (base 10)

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10
Q

Natural Logarithm

A

ln x (base e)

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11
Q

Inverse of f(x)=bx

A

y=logbx

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12
Q

logbm + logbn =

A

logbmn

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13
Q

logbm - logbn =

A

logb(m/n)

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14
Q

logbm x n =

A

logbmn

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15
Q

logca =

A

logba/logbc

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