Math Problem Statement
Find the range and the domain of the function shown.
Solution
To find the domain and range of the function shown in the graph:
Domain:
- The domain refers to all possible values of , which in this case is "Time (days)".
- From the graph, the time starts at days and ends at days.
- Therefore, the domain is:
Range:
- The range refers to all possible values of , which is the "Length of the road (kilometers)".
- From the graph, the length starts at about kilometers and ends at about kilometers.
- Therefore, the range is:
Would you like further details or have any other questions?
Here are 5 related questions to explore:
- How would the domain and range change if the graph extended to 120 days?
- What is the significance of the slope of this graph?
- How do you determine the domain and range from a non-linear graph?
- If the road construction rate increased, how would this affect the graph?
- How would you write the function that represents this graph?
Tip: When identifying domain and range, look at the start and end values of (for domain) and (for range) on the graph.
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Math Problem Analysis
Mathematical Concepts
Domain and Range
Graph Analysis
Linear Functions
Formulas
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Theorems
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Suitable Grade Level
Grades 6-8