Exponential and Logarithmic Functions Flashcards Preview

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Flashcards in Exponential and Logarithmic Functions Deck (28)
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1

What is the parental function for exponential decay functions?

0 < b < 1

2

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

h

3

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

k

4

What is the parental function for exponential growth functions?

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

5

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

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

6

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

Amount after t time periods.

7

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

Initial amount

8

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

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

9

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

+/-

10

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

Number of time periods

11

What does the equation y = ax represent?

Direct variation

12

In y=ax what is the nonzero constant?

Constant of variation

13

What is another name for the constant of variation?

Coefficient of variation

14

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

Inverse variation

15

What do you write when there is no variation?

Neither

16

Multiplying x by y will determine what?

If they are the same, it is inverse.

17

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

Combined variation

18

When one quantity varies directly with two or more quantities?

Joint variation

19

If it doesn't say, it is

direct (for joint variation).gmmjtty

20

What is letter that represents the constant of variation?

K

21

If 10^x = a, then x =

Log10a
Or
Log a

22

To find an inverse,

Switch x and y
And then rearrange

23

To graph an inverse,

Reflect over line y=x

24

What are characteristics of log graphs?

Vertical asymptote
Range of ARNs

25

What numbers can't you take a log of?

Negative

26

What does the ERROR message usually signify?

The asymptote

27

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

1 vertical asymptote

28

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

0 for y