Math Problem Statement
Find the domain and range of the function using the graph below.
Solution
From the graph, we can find the domain and range by identifying the x-values and y-values that the function covers.
Domain:
The domain of a function is the set of all possible x-values. The graph shows that the function starts at and goes to . Therefore, the domain is:
Range:
The range is the set of all possible y-values. From the graph, the lowest y-value is , and the highest y-value is . Therefore, the range is:
Final Answer:
- Domain:
- Range:
Would you like more details on how domain and range are determined?
Here are 5 relative questions that extend this concept:
- What is the domain of a function that spans from to ?
- How would the range change if the highest point on the graph was at ?
- Can a function have an infinite domain or range? What does that look like?
- How do vertical and horizontal lines affect the domain and range?
- How does the concept of a "discrete" versus "continuous" graph change the interpretation of domain and range?
Tip: The domain represents the possible input values (x-axis), and the range represents the possible output values (y-axis).
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Math Problem Analysis
Mathematical Concepts
Functions
Domain and Range
Graphing
Formulas
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Theorems
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Suitable Grade Level
Grades 7-9