Ch. 6 First Quiz

Question 1

How to tell if a function is exponential growth or decay

Answer 1

If the thing being raised to the x power or THE BASE is greater than one, the function is exponential growth.
If it’s less than one, it’s decay.

Question 2

to graph: plug any number into ___ to find points

Answer 2

Plug any number into x

Question 3

Asymptote

Answer 3

The x-axis and the line the graph approaches but never reaches
Usually where the graph points down

Question 4

What is y=#

Answer 4

Horizontal line

Question 5

What is x=#

Answer 5

Vertical line

Question 6

Domain
Exponential functions

Answer 6

x-axis

Question 7

Range

Answer 7

y-axis
Usually the asymptote

Question 8

x-intercept and y-intercept

Answer 8

The points on the graph either (x,0) or (0,y)

Question 9

Compound interest growth formula

Answer 9

A= p(1+r/n)^nt

Question 10

What does p stand for

Answer 10

Initial amount

Question 11

What does r stand for

Answer 11

Rate (percent)
When the rate is inside parentheses, move decimal over 2

Question 12

What do n and t stand for

Answer 12

Times per year and amount of years

Question 13

Compound interest decay formula

Answer 13

A= p(1-percent decrease*)^t

Question 14

How to graph continuous (e)

Answer 14

Plug in x and plot points

Question 15

Continuous compound interest formula

Answer 15

A= P(e)^r(move decimal)t

Question 16

What do
P
e
r
t
stand for

Answer 16

Initial amount
Continuously
rate (percent, move decimal)
time

Question 17

How to turn log form into exponential form

Answer 17

logb y =x —>b^x =y

Question 18

log# 1 =?

Answer 18

0

Question 19

loge # =?

Answer 19

1

Question 20

log# * #^x=?
log7 7^25=?

Answer 20

x
25

Question 21

ln e^x=?

Answer 21

x

Question 22

e^lnx =?

Answer 22

x

Question 23

number^log #x =?

Answer 23

x

Question 24

When a graph has a shift up or down, what changes?

Answer 24

The asymptote

Question 25

How to find the inverse of exponential and log functions

Answer 25

Switch y and x
Convert to either exponential or log form
Make sure it equals f -1 (x)

Question 26

How to convert e form to ln form

Answer 26

ln= e^x
e= lnx

Question 27

How to find the inverse of exponential form and ln form

Answer 27

Switch x and y
Change to exponent or ln form
Get y by itself