Precalculus : Functions
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Example Questions
Example Question #5 : Plot Points
Which of the following 
If we are to plug 
Therefore, we know that these coordinates do not lie on the graph of the function.
Example Question #2 : Cartesian Coordinate System
Which of the following 
If we were to plug in the coordinate 
Since these values do not equate properly when plugged into the function, we now know that 
Example Question #1 : Cartesian Coordinate System
Given 
First, solve for 
Then, graph the 
Since the slope of the line is 
There is only one graph that fits these requirements.
Example Question #131 : Functions
Which of the following does not lie on the line given by the equation below?
To determine if a point lies on a line, plug in the x-value and y-value to see if the equation is satisfied. We can do this for each choice to check.
For example:
Since both sides are equivalent, this point does lie on the line.
We can continue to do this for each of the points until one point does not work out.
Thus, this point does not lie on the line. Thus, this must be the solution.
Example Question #4 : Algebra Of Functions
Fully expand the expression:
None of the other answers
The first step is to rewrite the expression:
Now that it is expanded, we can FOIL (First, Outer, Inner, Last) the expression:
First :
Outer:
Inner:
Last:
Now we can simply add up the values to get the expanded expression:
Example Question #5 : Algebra Of Functions
Evaluate
None of the other answers
When adding two expressions, you can only combine terms that have the same variable in them.
In this question, we get:
Now we can add each of the results to get the final answer:
Example Question #3 : Add, Subtract, Multiply, And Divide Functions
Simplify the following expression:
First, we can start off by factoring out constants from the numerator and denominator.
The 9/3 simplifies to just a 3 in the numerator. Next, we factor the top numerator into 
We now have
Example Question #4 : Add, Subtract, Multiply, And Divide Functions
Simplify the expression:
First, distribute the -5 to each term in the second expression:
Next, combine all like terms
to end up with
Example Question #1 : Add, Subtract, Multiply, And Divide Functions
If 
We begin by factoring 
Now, When we look at 
We can take out 
Example Question #4 : Algebra Of Functions
If 
First, we must determine what 
Next we simply subtract this from 
Finally, combining our terms gives us 
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