Math Problem Statement

Give the domain and range of the graph shown to the right. The domain of the graph is ______. (Use interval notation)

Solution

From the graph in the image, we can observe that:

  • The graph starts at x=4x = -4 and goes to x=4x = 4, which indicates the domain.
  • For the range, the graph covers values from y=4y = -4 up to y=6y = 6.

The domain (in interval notation):

[4,4][-4, 4]

Would you like to continue with parts (a) through (d), or provide further details? Here are five relevant questions you might consider:

  1. What is the range of the graph in interval notation?
  2. How can you determine whether the graph includes or excludes the endpoints in the domain?
  3. What is the significance of closed intervals in domain and range?
  4. How would the domain change if the graph extended beyond x=4x = 4?
  5. How does the graph behave at the endpoints of the domain?

Tip: When writing interval notation, brackets [][ ] indicate that the endpoints are included, while parentheses ()( ) indicate that they are not.

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Math Problem Analysis

Mathematical Concepts

Functions
Domain and Range
Graphs

Formulas

Domain: The set of all possible input (x) values
Range: The set of all possible output (y) values

Theorems

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Suitable Grade Level

Grades 9-12