Math Problem Statement
what are the domain and range of this function ?
Solution
To find the domain and range of the linear function shown in the graph:
Domain:
The domain represents the set of all possible -values for which the function is defined.
- From the graph, the linear function starts at and ends at .
- Thus, the domain is the closed interval:
Range:
The range represents the set of all possible -values for which the function is defined.
- From the graph, the corresponding -values for the function start at and go up to .
- Thus, the range is the closed interval:
Let me know if you'd like more details on how to determine domain and range, or if you have any other questions.
Here are 5 questions related to this topic:
- How do you determine the slope of the function from the graph?
- What would the equation of this line be?
- How would the domain change if the line extended further?
- How does the range relate to the slope of the function?
- Can a linear function have a domain or range that is not continuous?
Tip: The domain and range of a linear function are typically all real numbers unless the function is restricted in some way (like in this graph).
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Math Problem Analysis
Mathematical Concepts
Linear Function
Domain
Range
Formulas
None required for domain and range of a linear segment
Theorems
None explicitly required, but basic properties of functions apply
Suitable Grade Level
Grades 6-8