Exponential and Logarithmic Functions Flashcards

1
Q

What is the parental function for exponential decay functions?

A

0 < b < 1

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2
Q

What letter in ab^(x-h)+k represents a left/right slide (horizontal change)?

A

h

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3
Q

What letter in ab^(x-h)+k represents an up/down slide (vertical change)?

A

k

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4
Q

What is the parental function for exponential growth functions?

A

f(x) = b^x, if b > 1

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5
Q

What function is used to model exponential growth/decay functions?

A

A(t) = a(1 + r)^t

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6
Q

A(t) = a(1 + r)^t: what does A(t) stand for?

A

Amount after t time periods.

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7
Q

A(t) = a(1 + r)^t: what does a stand for?

A

Initial amount

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8
Q

A(t) = a(1 + r)^t: what does r stand for?

A

Rate of growth (r > 1) or decay (r < 1)

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9
Q

A(t) = a(1 + r)^t: what changes depending on if it is growth or decay?

A

+/-

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10
Q

A(t) = a(1 + r)^t: what does t stand for?

A

Number of time periods

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11
Q

What does the equation y = ax represent?

A

Direct variation

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12
Q

In y=ax what is the nonzero constant?

A

Constant of variation

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13
Q

What is another name for the constant of variation?

A

Coefficient of variation

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14
Q

What does the equation y = a/x represent (a ≠ 0)?

A

Inverse variation

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15
Q

What do you write when there is no variation?

A

Neither

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16
Q

Multiplying x by y will determine what?

A

If they are the same, it is inverse.

17
Q

When one quantity varies with respect to two or more quantities?

A

Combined variation

18
Q

When one quantity varies directly with two or more quantities?

A

Joint variation

19
Q

If it doesn’t say, it is

A

direct (for joint variation).gmmjtty

20
Q

What is letter that represents the constant of variation?

A

K

21
Q

If 10^x = a, then x =

A

Log10a
Or
Log a

22
Q

To find an inverse,

A

Switch x and y

And then rearrange

23
Q

To graph an inverse,

A

Reflect over line y=x

24
Q

What are characteristics of log graphs?

A

Vertical asymptote

Range of ARNs

25
Q

What numbers can’t you take a log of?

A

Negative

26
Q

What does the ERROR message usually signify?

A

The asymptote

27
Q

What type/how many asymptote a does a log graph have?

A

1 vertical asymptote

28
Q

To find the x-intercept, plug in _ for _.

A

0 for y