Math Problem Statement
Which inequalities best describe the domain and range of the part of the linear function g graphed on the grid?
Solution
To determine the correct inequalities describing the domain and range of the given graph of the linear function , let’s analyze the graph step-by-step:
Domain Analysis:
- The domain represents all possible -values of the function.
- From the graph, the line starts at the point and ends at the point .
- Therefore, the domain of the function is .
Range Analysis:
- The range represents all possible -values of the function.
- From the graph, the lowest point is and the highest point is .
- Thus, the range of the function is .
Correct Answer:
- The inequalities that best describe the domain and range are:
- Domain:
- Range:
This matches the selected answer:
- Domain:
- Range:
Would you like further details or have any questions?
Related Questions:
- How do you determine the domain and range from a graph?
- What is the importance of understanding the domain and range of a function?
- How can you express domain and range using interval notation?
- What other types of functions have specific domains and ranges?
- How does the slope of a line affect the range of a function?
Tip:
Always pay close attention to the endpoints of a graph when determining the domain and range, especially whether the points are included or excluded (open or closed circles).
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Math Problem Analysis
Mathematical Concepts
Linear Functions
Domain and Range
Formulas
Domain of a function: All possible x-values
Range of a function: All possible y-values
Theorems
Graphing of Linear Functions
Domain and Range determination from a graph
Suitable Grade Level
Grades 7-10