Math Problem Statement

Given a set of ordered pairs, determine the domain and range.

Solution

In this problem, you are given a set of ordered pairs and need to determine the domain and range.

  1. Original Set of Ordered Pairs:
    {(3,3),(2,1),(0,2),(2,3),(3,1)}\{ (-3, 3), (-2, -1), (0, 2), (2, -3), (3, 1) \}

  2. Correct Answer Set of Ordered Pairs (likely showing all pairs after reordering and correction):
    {(4,4),(4,1),(3,3),(4,2),(1,2)}\{ (-4, -4), (-4, -1), (-3, 3), (4, -2), (1, 2) \}

Part 2: Domain

The domain is the set of all the first elements (x-values) in each ordered pair. Based on the corrected answer, the domain is: {4,3,1,4}\{-4, -3, 1, 4\}

Part 3: Range

The range is the set of all the second elements (y-values) in each ordered pair. Using the corrected answer, the range is: {4,1,2,3,2}\{-4, -1, 2, 3, -2\}

Let me know if you'd like more detailed explanations or if you have questions!

Related Questions:

  1. What is the difference between a domain and a range?
  2. How do you determine if a relation is a function based on its pairs?
  3. Can a number appear more than once in the domain or range?
  4. How would you handle finding domain and range if there were more complex relations?
  5. What does it mean if a range or domain includes an infinite number of values?

Tip:

Always double-check each x- and y-value separately to avoid missing any elements in the domain or range.

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Math Problem Analysis

Mathematical Concepts

Domain and Range
Relations and Functions

Formulas

Domain: Set of all x-values in the ordered pairs
Range: Set of all y-values in the ordered pairs

Theorems

Definition of Domain and Range in a relation

Suitable Grade Level

Grade 8-10