Math Problem Statement

Give the domain and range of S using set notation based on the graph provided.

Solution

To find the domain and range of the relation SS shown in the graph:

  1. Identify the Domain: The domain consists of all unique xx-coordinates of the points on the graph.
  2. Identify the Range: The range consists of all unique yy-coordinates of the points on the graph.

From the graph:

  • The points have xx-coordinates at 3-3, 11, and 22.
  • The corresponding yy-coordinates are 2-2, 3-3, and 22.

Domain and Range in Set Notation

  • Domain: {3,1,2}\{ -3, 1, 2 \}
  • Range: {2,3,2}\{ -2, -3, 2 \}

Would you like further details on how these values were identified?

Here are some related questions for deeper understanding:

  1. How do you determine the domain and range for continuous functions?
  2. Can a single yy-value correspond to multiple xx-values in a relation?
  3. What is the difference between a relation and a function in terms of domain and range?
  4. How would you represent a continuous domain in interval notation?
  5. What would the domain and range look like if more points were added to this relation?

Tip: Always list values in the domain and range only once, even if they appear multiple times on the graph.

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Math Problem Analysis

Mathematical Concepts

Domain and Range
Set Notation
Coordinate Geometry

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8