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Exponential Graphs
Exponential Equations
Growth/Decay Factors
Percent Rate
100

This equation is a simple exponential function that can be described as a 'doubling relationship.'

What is a statement of y=2^x?

100
y=a(b)^x
What is the standard form equation for an exponential function?
100
This equation models a situation where we start with 2 and, as x increases, y triples.
y=2(3)^x
100
This growth factor would be included in a exponential function that described a 5% monthly increase.
What is a growth factor of 1.05?
200

This equation is an exponential decay which crosses the points (0,1), (1,1/3) and (2,1/9).

What is y=(1/3)^x

200

The y intercept is 2 and the common ratio is tripling

What is the equation for y=2(3)^x 

200
This type of function has a factor between zero and one.
What is a decay function?
200
This is the percent rate for the equation y=45(.65)^x.
What is 35 percent decrease?
300

The graph of this function can be plotted like this: http://imgur.com/pzFOORV

What is y=2(3)^x

300

This is a function to describe the following relationship: "I've got a lovely bunch of coconuts. I started with 3 but each time I shook the tree, more fell down. The first shake gave me 15, and the second 75, and after the third shake I had 375!"

What is y=3(5)^x?

300

If the common ratio is between 0 and 1.

When is an exponential equation decay?

300
This growth factor describes an annual decrease of 18%.
What is 0.82?
400
The graph of this function looks like this: http://imgur.com/trikVTh
What is y=4(1/2)^x?
400

DAILY DOUBLE: This function models the following situation: "The population of a city of 50,000 on this date in 1995 increased by 8% each year after that. What is its population today?"

What is 271,827?

400
https://docs.google.com/document/d/1q03mYntcQuRE32mhg9rss0gYMYQFuPsBUPumAlVRylU/edit?usp=sharing
What is y=4(1.25)^x?
400

It grows by 25% each year

How much does something grow by each year if the common ratio is 1.25?

500
The graph of this function has a growth factor of 1.5 and looks like this: http://imgur.com/92HOg5r
What is -2(3/2)^x
500

There are 400 leopards left. They are disappearing at a rate of 8% per year.

What is a problem for y=400(.92)^x ?

500
https://docs.google.com/document/d/1kbHhwQjAGhsP6J6rhPhyKOcyLP7CZ_3Ix7QViV767nc/edit
What is y=75(.67)^x
500

IT decreases by 40% each year

What is the rate if the common ratio is .60