Math Problem Statement
In alternate notation
Solution
The graph shown is a curve that appears to be continuous. To determine the domain of the graph, we need to identify the set of all possible -values for which the graph is defined.
Analysis:
- The graph starts from a point on the left, crosses the x-axis, continues upward, and then curves back downward to the right.
- There don't appear to be any breaks, gaps, or undefined points in the curve along the x-axis.
Conclusion: The domain of the graph includes all real numbers, meaning that for every value of , there is a corresponding value on the graph. This can be written in interval notation as:
This indicates that the graph is defined for all -values.
Would you like more details or have any questions?
Here are 5 related questions you might find helpful:
- What is the range of the given graph?
- How can the continuity of a graph be determined?
- What are some common types of functions with domains of all real numbers?
- How does the domain of a function change with vertical or horizontal shifts?
- What are the effects of restricting the domain of a function?
Tip: Always check the entire graph for any vertical asymptotes, holes, or other discontinuities when determining the domain.
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Math Problem Analysis
Mathematical Concepts
Graph Theory
Domain and Range
Formulas
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Theorems
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Suitable Grade Level
High School