Math Problem Statement

Write the domain of the function using interval notation based on the provided graph.

Solution

The graph represents a function, and the domain of the function is the set of all possible x-values over which the function is defined. Based on the graph provided:

  • The function starts at x=4x = -4 (closed circle, meaning 4-4 is included) and ends at x=4x = 4 (closed circle, meaning 44 is also included).

Thus, the domain of the function in interval notation is:

[4,4][-4, 4]

Let me know if you'd like further clarification or have any additional questions!

Here are 5 questions to consider:

  1. What is the difference between domain and range in a function?
  2. How does interval notation work, and when should parentheses versus brackets be used?
  3. Can the range of this specific function also be determined from the graph?
  4. How would the domain change if one of the endpoints were an open circle?
  5. What are examples of functions with restricted domains in real-world applications?

Tip: Always pay attention to open versus closed circles when determining the domain and range in graphs.

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Math Problem Analysis

Mathematical Concepts

Graph Analysis
Domain of a Function
Interval Notation

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8