Definitions
Graphing Exponential Functions
Miscellaneous
Word Problems
Solving Exponential Equations
100
An imaginary line that a graph approaches but does not meet.
Asymptote
100
What is the graph of the exponential function:
f(x)=(1/2)^x
100
Name an actor that has played spider man.
Verify with the internet.
100
If your car depreciates by 12% each year that you own it, does is show exponential growth or decay?
Decay
100
Solve the equation
3^{x-7}=27^{2x}
x=-7/5
200
in an exponential function, this determines if the function shows growth or decay.
What is the base, or b.
200
What is the y - intercept of the function
f(x)=3(1/2)^x -1?
(0, 2)
200
Give an example of an onomatopoeia.
Boom, bang, etc..
200
You buy a new computer for $2300. The value of the computer decreases by about 45% annually. Use
f(t)=2300(0.55)^t
to estimate the value after 2 years.
$695.75
200
Solve the following equation
3^{x-3}=3
x=4
300
f(x) = 10(1.45)x is a function that shows...
Exponential Growth
300
What is the domain of the function
f(x)=3(1/2)^x -1?
(-infty, infty)
300
How many nights long is Hanukkah?
8 nights
300
You buy a used car for $2300. The value of the car decreases by about 35% annually. Write an exponential decay model for the value of the computer.
f(x)=2300(0.65)^x
300
Solve the following equation
4^{x+1}=1/64
x=-4
400
f(x) = 300(.78)x is a function that models..
Exponential Decay
400
What is the range of the function
f(x)=3(1/2)^x -1?
(-1, infty)
400
In the 12 days of christmas song, what is the gift for the 6th day?
6 Geese a- laying.
400
In the year 1995, about 20 million people used the internet. Between 1995 and 2001, the number of people who used the internet grew by about 75% per year. State a function that models the relationship between p, the number of people using the internet (in millions), and t, the number of years since 1995?
p(t)=20(1.75)^t
400
Classify the following as Exponential Growth, Exponential Decay, or Neither.
f(x)=6(6/5)^{-x}
Exponential Decay
500
In the exponential function f(x) = 123(.54)x + 6, state the y-intercept and the horizontal asymptote.
y - int : 123
asymptote: y = 6
500
What are the end behaviors of the function
f(x)= 3(1/2)^x -1?
As
x \to infty, f(x) \to -1
As
x \to -infty, f(x) \to infty
500
Which mineral is number 10 on MOHs hardness scale?
Diamond
500
A box of paper clips begins with 270 clips. A person takes one-third of the clips and passes the box to a second person who takes one-third of the remaining clips. Another person then takes one-third of the remaining clips. How many clips remain when a fourth person receives the box?
80 Paper Clips
500
Sleepy, Happy, Sneezy, Grumpy, Dopey, Doc. Who's missing?
Bashful