Algebra II : Solving and Graphing Exponential Equations
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Example Questions
Example Question #4 : Graphing Exponential Functions
Match each function with its graph.
1.
2.
3.
a.
b.
c.
1.
2.
3.
1.
2.
3.
1.
2.
3.
1.
2.
3.
1.
2.
3.
For 
For 
For 
Example Question #2 : Graphing Exponential Functions
An exponential funtion 
To determine the constant 
To find 
We can write our equation as 
Then 
Our model equation is 
Example Question #6 : Graphing Exponential Functions
In 2010, the population of trout in a lake was 416. It has increased to 521 in 2015.
Write an exponential function of the form 
We need to determine the constants 
To get 
Using a calculator, 
Then our model equation for the fish population is
Example Question #361 : Sat Subject Test In Math I
What is the 
The 
Thus, to find the 
In this case, you will get,
Example Question #2 : Graph Exponential Functions
What is the 
There is no 
The 
Thus, to find the 
Thus, we get:
Example Question #9 : Graphing Exponential Functions
What is the 
The 
Substituting this in to our funciton, we get:
Example Question #21 : Solving Exponential Functions
Which of the following functions represents exponential decay?
Exponential decay describes a function that decreases by a factor every time 
These can be recognizable by those functions with a base which is between 
The general equation for exponential decay is,
Thus, we are looking for a fractional base.
The only function that has a fractional base is,
Example Question #122 : Solving And Graphing Exponential Equations
Does the function 
Yes,
No
Yes, 
Yes,
That cannot be determined from the information given.
No
The 
If we try to solve this equation for 
To bring the exponent down we will need to take the natural log of both sides.
Since the natural log of zero does not exist, there is no exponent which makes this equation true.
Thus, there is no 
Example Question #761 : Exponents
Which of the following correctly describes the graph of an exponential function with a base of three?
It stays constant.
It begins by decreasing gradually and then decreases more quickly.
It starts by increasing quickly and then levels out.
It starts out by gradually increasing and then increases faster and faster.
It begins by decreasing quickly and then levels out.
It starts out by gradually increasing and then increases faster and faster.
Exponential functions with a base greater than one are models of exponential growth. Thus, we know that our function will increase and not decrease. Remembering the graph of an exponential function, we can determine that the graph will begin gradually, almost like a flat line. Then, as 
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