Definitions
Graphing Exponential Functions
Transformations
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 parent function
f(x)=(1/2)^x
100
What is a transformation of the function
f(x)=3^{x+3} - 2?
Horizontal Translation Left 3
OR
Vertical Translation Down 2
100
Who's real name is Aubrey Clark Graham?
Drake
100
Solve the equation
3^{x-7}=27^{2x}
x=-7/5
200
As n approaches
+\infty, \ (1+1/n)^n
approaches
e \approx 2.71828182...
The Natural Base e
200
What is the y - intercept of the function
f(x)=3(1/2)^x -1?
(0, 2)
200
Describe the transformations of the function
g(x)=4 \cdot 3^{x-2}+5
when compared to the function
f(x)=3^x?
Vertical Stretch by 4,
Horizontal Translation Right 2,
Vertical Translation Up 5
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
Growth whose rate becomes more rapid in proportion to the growing total.
Exponential Growth
300
What is the domain of the function
f(x)=3(1/2)^x -1?
(-infty, infty)
300
What will the parent function
f(x)=9^x
be after a reflection across the x - axis?
f(x)=-9^x
300
You buy a new computer for $2300. The value of the computer decreases by about 45% annually. Write an exponential decay model for the value of the computer.
f(x)=2300(0.55)^x
300
Solve the following equation
4^{x+1}=1/64
x=-4
400
Decay whose rate becomes less rapid in proportion to the growing total.
Exponential Decay
400
What is the range of the function
f(x)=3(1/2)^x -1?
(-1, infty)
400
What will the parent function
f(x)=9^x
be after a vertical translation 5 units down?
f(x)=9^x-5
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. Which function best 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
Name this popular television show that takes place in a high school ... and everyone sings!
Glee
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 famous artist's real name is Peter Gene Hernandez?
Bruno Mars
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?
10 Paper Clips
500
Sleepy, Happy, Sneezy, Grumpy, Dopey, Doc. Who's missing?
Bashful