Math Problem Statement
What is the domain and range
Solution
To determine the domain and range of the function shown in the graph, let's analyze the plot.
Domain:
The domain is the set of all possible x-values that the function can take.
Looking at the graph:
- The graph starts at and continues to the right until .
- Both endpoints seem to be included in the function, so the domain will include these values.
Domain:
Range:
The range is the set of all possible y-values the function can output.
- The lowest point on the graph is near , and the highest point is near .
Range:
The domain is from to , and the range is from to .
Would you like more details or clarifications on the domain and range? Here are a few related questions to expand on this concept:
- What happens to the domain and range if the endpoints are not included?
- How can we identify if the graph has a discontinuity affecting domain or range?
- What is the difference between open and closed intervals in domain and range?
- How would the domain and range change for a function like a parabola?
- How do we express domain and range for periodic functions?
Tip: When determining domain and range from a graph, always check if the endpoints are included (solid dots) or excluded (open dots) to accurately represent the intervals.
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Math Problem Analysis
Mathematical Concepts
Functions
Domain and Range
Graph Interpretation
Formulas
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Theorems
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Suitable Grade Level
Grades 8-10