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