Math Problem Statement
Determine the domain of the following graph.
Solution
The graph shown represents a continuous function on a specific interval of the x-axis. To determine the domain, we need to look at the smallest and largest x-values where the graph starts and ends.
From the image, the graph spans horizontally from approximately x = -10 to x = 8. Therefore, the domain includes all x-values within this range.
Thus, the domain is:
Would you like a more detailed explanation of how the domain is determined? Also, here are some questions for further practice:
- What is the range of this function based on the graph?
- How do you determine the range of a graph from its vertical extent?
- How can you tell if a function is continuous by looking at the graph?
- What is the significance of open versus closed endpoints in the domain?
- How does the domain change if the graph has asymptotes or breaks?
Tip: The domain of a function is the set of all x-values for which the function is defined, while the range is the set of corresponding y-values.
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Math Problem Analysis
Mathematical Concepts
Functions
Domain and Range
Graph Analysis
Formulas
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Theorems
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Suitable Grade Level
Grades 8-10