Math Problem Statement

Determine the domain of the following graph.

Solution

The problem asks to determine the domain of the given graph.

The domain of a function refers to the set of all possible xx-values for which the function is defined. From the graph in your image, the function starts at approximately x=10x = -10 and ends at x=10x = 10 (there is a closed circle at x=10x = 10, indicating that this point is included in the domain). Therefore, the domain includes all xx-values from 10-10 to 1010, inclusive.

Thus, the domain of the function is: [10,10]\boxed{[-10, 10]}

Would you like further details or have any questions?

Here are 5 related questions you might consider:

  1. How do you determine if an endpoint is included in the domain?
  2. What is the difference between the domain and range of a function?
  3. Can a function have a domain that extends infinitely in both directions?
  4. How do vertical asymptotes affect the domain of a function?
  5. What is the domain of a function defined by a rational expression?

Tip: The domain is affected by factors like breaks in the graph (e.g., holes, jumps), asymptotes, and points where the function is not defined. Always check carefully for such features!

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Math Problem Analysis

Mathematical Concepts

Domain of a function
Graph analysis

Formulas

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Theorems

Definition of function domain

Suitable Grade Level

Grades 9-12