Exponential Functions Flashcards

1
Q

How can you tell if you have an exponential function?

A

The exponent is a variable

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2
Q

Exponential equation

A

y = ab^x+c
or
y = ab^(x-h)+k

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3
Q

B is the ____

A

Base

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4
Q

B>1

A

Growth function

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5
Q

0<B<1

A

Decay function

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6
Q

A>1

A

Vertical Stretch

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7
Q

0<A<1

A

Vertical Compression

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8
Q

C is the __________ _________
(Y=C)

A

Horizontal Asymptote

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9
Q

H is __________ _____ (Opposite of the sign)

A

Horizontal Shift

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10
Q

K/C is ________ _____
(True to the sign)

A

Vertical Shift

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11
Q

A line or sometimes point that is approached but never reached

A

Asymptote

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12
Q

Formula for Exponential Growth

A

y = a(1 + r)^t

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13
Q

Formula for Exponential Decay

A

y = a(1 - r)^t

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14
Q

Formula for Half-Life

A

A=A.(1/2)^t/h

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15
Q

Formula for Doubling Time

A

A=A.(2)^t/d

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16
Q

X^0

A

1

17
Q

Exponential Functions-Base and Exponents

A

Bases must be the same in order for the the exponents to work

18
Q

In order to find growth/decay percentage

A

Growth: 1-r r= Percentage
Decay: 1-r r= Percentage

Ex: (1-0.046) Percentage: 4.6%