Math Problem Statement
For the following relation, provide the domain and range.
domain [A,B] Range [C,D]
Solution
From the graph, we can observe the following:
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Domain: The domain represents all the x-values for which the graph exists. From the image, the graph spans horizontally from to . Therefore, the domain is:
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Range: The range represents all the y-values the graph attains. From the image, the graph vertically spans from to . Therefore, the range is:
Thus, the domain is and the range is .
Would you like further clarification, or do you have any specific questions?
Relative Questions:
- How can we determine the symmetry of this function from the graph?
- What type of function could this be (e.g., polynomial, sinusoidal)?
- How can we identify the maximum and minimum points from the graph?
- What is the significance of the zeroes or intercepts of the graph?
- How could transformations such as shifts or stretches affect the graph?
Tip: When analyzing the graph of a function, always check the endpoints for the domain and observe the highest and lowest points to find the range.
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Math Problem Analysis
Mathematical Concepts
Functions
Graph Interpretation
Formulas
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Theorems
Domain and Range of a Function
Suitable Grade Level
Grades 8-10