Math Problem Statement

​(a) The domain is

Solution

To determine the domain of the graph, we need to identify all possible values of xx for which the graph is defined.

From the provided graph:

  • The graph extends horizontally from x=12x = -12 to x=12x = 12.
  • There is no break in the graph between these points, which means the graph is continuous within this range.

Thus, the domain of the graph is:

[12,12]\boxed{[-12, 12]}

This means that xx can take any value between 12-12 and 1212, inclusive.

Would you like further details or have any other questions? Here are some related questions you might consider:

  1. What is the range of this graph?
  2. How do you determine the domain of a function from its equation rather than its graph?
  3. What is the difference between open and closed intervals when describing a domain?
  4. How do you find the domain of a piecewise function?
  5. How does the domain change if the graph is shifted horizontally?

Tip: When determining the domain from a graph, look at the extent of the graph along the x-axis to see where the graph starts and ends.

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Math Problem Analysis

Mathematical Concepts

Graphs
Domain

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12