Math Problem Statement
Solution
The graph you uploaded represents a function that is defined for values of starting from and extending to positive infinity. The graph shows an open circle at , indicating that the function is not defined at that specific value, but is defined for all values greater than .
Thus, the domain of the graph is , which corresponds to the third option: .
Would you like further clarification on this? Or do you have any additional questions?
Here are 5 related questions to consider:
- How do open and closed circles in a graph affect the domain and range of a function?
- What is the difference between a domain and a range of a function?
- How do you identify the domain of a function from its graph?
- Can the domain of a graph include negative values?
- What is the significance of infinity in describing the domain of a function?
Tip: Always pay attention to whether the graph has open or closed circles at boundary points, as this will tell you whether those points are included in the domain.
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Math Problem Analysis
Mathematical Concepts
Functions
Domain and Range
Inequalities
Formulas
Domain of a function: The set of all possible input values (x-values) for which the function is defined.
Theorems
A function's domain is determined by examining its graph, ensuring it includes all x-values for which the function is valid.
Suitable Grade Level
Grades 8-10