Math Problem Statement

Determine the domain of the following graph.

Solution

To determine the domain of the given graph, we analyze the x-values where the graph exists.

Analysis:

  1. The graph starts at x = -6 (inclusive), as indicated by the solid circle at (6,3)(-6, 3).
  2. It ends at x = 8 (inclusive), as indicated by the solid circle at (8,10)(8, -10).
  3. There are no breaks or discontinuities in the x-values from 6-6 to 88.

Domain:

The domain of the graph is: [6,8][-6, 8]

This means all x-values between 6-6 and 88, including the endpoints, are part of the domain.


Would you like details about interpreting open and closed intervals, or help with related topics?

5 Related Questions:

  1. What is the range of the given graph?
  2. How do you determine whether a point is included (solid circle) or excluded (open circle) from the domain or range?
  3. What is the difference between domain and range in mathematics?
  4. How can domain be represented in interval notation versus set-builder notation?
  5. How would the domain change if there were gaps or open circles in the graph?

Tip:

When finding the domain, always focus on the x-values and check for solid or open points and continuity along the x-axis.

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Math Problem Analysis

Mathematical Concepts

Domain and Range
Interval Notation
Graph Analysis

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8