Domain and Range Fundamentals
Explore the concepts of domain and range for various mathematical relationships and functions at a Grade 6 level.
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Domain and Range Fundamentals
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Read each question carefully and answer to the best of your ability. Show all your work where applicable.
In mathematics, the 'domain' of a relationship or function is the set of all possible input values (often the x-values). The 'range' is the set of all possible output values (often the y-values).
1. What does the domain of a function represent?
All possible output values
All possible input values
The graph of the function
The solution to the equation
2. For the set of ordered pairs {(1, 2), (3, 4), (5, 6)}, what is the range?
{1, 3, 5}
{2, 4, 6}
{1, 2, 3, 4, 5, 6}
{(1,2), (3,4), (5,6)}
3. The set of all possible input values for a function is called the .
4. The set of all possible output values for a function is called the .
5. Consider the function where a student's grade (output) depends on the number of hours they study (input). Describe a possible domain and range for this function.
6. Plot the points (2, 3), (4, 5), (6, 7) on the coordinate plane below. Then, list the domain and range.
Domain:
Range: