Algebra II : Introduction to Functions
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Example Questions
Example Question #21 : How To Find F(X)
Solve the function for 
What does 
25
0
-5
Plug 16 in for 
Add 9 to both sides.
Take the square root of both sides. 
Final answer is 
Example Question #371 : Algebra Ii
Evaluate 
Undefined
This expression is the same as saying "take the answer of 
First, we need to find 
Now we take this answer and plug it into 
We can find the value of 
This is our final answer.
Example Question #2 : Function Notation
Orange Taxi company charges passengers a $4.50 base fase, plus $0.10 per mile driven. Write a function to represent the cost of a cab ride, in terms of number of miles driven, 
Total cost of the cab ride is going to equal the base fare ($4.50) plus an additional 10 cents per mile. This means the ride will always start off at $4.50. As the cab drives, the cost will increase by $0.10 each mile. This is represented as $0.10 times the number of miles. Therefore the total cost is:
Example Question #2 : Function Notation
A small office building is to be built with 
Write an equation for 
The pre-question text provides us with all of the information required to complete this problem.
We know that the total length of the walls is to be 
We also know that we have a total of 
With this, we can set up an equation and solve for 
Our equation will be with sum of all the walls set equal to the total length of the wall...
Remeber, we want 
Example Question #2 : Function Notation
What is the slope of the function 
The function is written in slope-intercept form, which means:
where:
Therefore, the slope is
Example Question #653 : Algebra Ii
A cable company charges a flat $29.99 activation fee, and an additional $12.99 per month for service. How would a function of the cost be represented in terms of months of service, 
This cannot be written as a function
The flat rate of 29.99 does not change depending on months of service. It is $29.99 no matter how long services are in use. The monthy fee is directly related to the number of months the services are in use.
Example Question #5 : Function Notation
Find 
To evaluate 
which is equal to
Example Question #7 : Function Notation
Find 
To find 
Then, when we expand our binomial squared and distribute the 
Example Question #3 : Function Notation
If 
First, x needs to be plugged into g(x).
Then, the resulting solution needs to be substituted into f(x).
For example,
Since 45 is an odd number, 7 is an x value that gives this result. Because both equations subtract an odd number to get the final result, only an odd number will result in an odd result therefore, none of the other options will give an odd result.
Example Question #11 : Function Notation
Given 
Plug in a for x:
Next plug in (a + h) for x:
Therefore f(a+h) - f(a) = 
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