Algebra II : Introduction to Functions
Study concepts, example questions & explanations for Algebra II
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Example Questions
Example Question #32 : Domain And Range
What is the domain of the function?
In order for the function to be real, the value inside of the square root must be greater than or equal to zero. The domain refers to the possible values of the independent variable (x-value) that allow this to be true.
For this term to be real, 
Example Question #61 : Functions And Graphs
Give the domain and range for this ellipse.
Domain: 
Range: 
Domain: all real numbers
Range:
Domain:
Range:
Domain:
Range:
Domain:
Range:
Domain:
Range:
The domain is the set of all potential x-values. In this case, the graph does not extend to the left of 
The range is the set of all potential y-values. In this case, the graph does not extend above 
Example Question #582 : Algebra Ii
State the domain and range for this parabolic graph:
Domain:
Range:
Domain:
Range: all real numbers
Domain:
Range: all real numbers
Domain:
Range:
Domain: all real numbers
Range: all real numbers
Domain:
Range: all real numbers
The domain is the set of all potential x-values. In this case, the graph starts at 
Example Question #33 : Domain And Range
What is the domain of 
Based on the denominator, the only value for which 
Example Question #32 : Domain And Range
Determine the range of the parabola 
All real numbers
The range of a function represents all values of 
The parabola 
The range of this parabola is 
Example Question #66 : Functions And Graphs
What is the domain and range of the following graph?
Domain:
Range: All real numbers
Domain: All real numbers
Range:
Domain: All real numbers
Range:
Domain:
Range: All real numbers
Domain: All real numbers
Range: All real numbers
Domain: All real numbers
Range:
Domain looks at x-values and range looks at y-values.
The x-values appear to continue to go on forever, which suggests the answer:
"all real numbers"
The y-values are all number that are equal to nine or less which is
So you answer is:
Domain: All real numbers
Range:
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 #42 : Domain And Range
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
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