Algebra II : Algebra II
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #34 : Domain And Range
What is the domain of the function 
The expression under the square root symbol cannot be negative, so to find the domain, set that expression 
The domain includes all x-values greater than or equal to 2, which can be written as 
Example Question #67 : Introduction To Functions
What is the domain of the function 
The expression under the square root symbol cannot be negative, so to find the domain, set that expression 
The domain includes all x-values less than or equal to 7, which can be written as 
Example Question #41 : Domain And Range
What is the range of the function 
The smallest value that the function can have is when the square root part of the function is zero (it cannot be smaller than zero).
The smallest value is -6, so the range must be
Example Question #71 : Introduction To Functions
What is the range of the function 
The largest value that the function can have is when the square root part of the function is zero (it cannot be smaller than zero).
The largest value is 3, so the range must be
Example Question #71 : Introduction To Functions
What is the range of the function
The largest value that the function can have is when the square root part of the function is zero (it cannot be smaller than zero).
The largest value is 3, so the range must be
Example Question #43 : Domain And Range
What is the domain and range of the following equation:
The domain of any quadratic function is always all real numbers.
The range of this function is anything greater than or equal to 5.
These written in the correct notation is:
Soft brackets are needed for infinity and a hard square bracket for 5 because it is included in the solution.
Example Question #72 : Introduction To Functions
What is the domain of the following function?
To figure out the values that x (your domain) can't be you need to set the denominator equal to 0 since you cannot have 0 in the denominator.
When you solve this you get
This means that you have have all values of x other than -5.
This notation of this is:
Example Question #71 : Functions And Graphs
What is the domain and range of the graph below?
None of the above
This function has the domain of x can't be 0 as well as the range of y can't be 0.
This means that the domain and range of these functions include everything but 0, which is denoted as:
Example Question #42 : Domain And Range
What is the range of the following inequality:
Upon solving this inequality you get
This means that "y" is all values including 18 and greater.
Written as interval notation you get:
Example Question #41 : Domain And Range
What is the domain of the following equation:
The trick here is to factor the top. Upon doing so you get:
From here you can cancel your "x+3"s to get
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