Math Problem Statement

Determine the domain of the given graph.

Solution

To determine the domain of the given graph, we analyze the range of xx-values over which the graph exists.

Observations:

  • The graph starts at x=1x = -1 and ends at x=10x = 10.
  • The graph is continuous between these xx-values, meaning all real numbers in this range are part of the domain.

Conclusion:

The domain of the graph is: x[1,10]x \in [-1, 10] (inclusive of 1-1 and 1010).

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Here are five related questions to expand on this concept:

  1. What is the range of the given graph?
  2. How would the domain change if the graph included discontinuities?
  3. Can you determine the domain of a graph if only the equation is provided?
  4. What is the significance of the domain in real-world applications?
  5. How does the domain differ for functions involving square roots or fractions?

Tip: When determining a graph's domain, always focus on the horizontal extent of the graph along the xx-axis.

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Math Problem Analysis

Mathematical Concepts

Graph Analysis
Domain of a Function

Formulas

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Theorems

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Suitable Grade Level

Grades 8-10