Math Problem Statement

What is the domain of this relation?

Solution

The domain of a relation consists of all the x-coordinates (horizontal values) of the points in the relation. Let's examine the points on the graph:

  1. The first point is at (3,2)(-3, -2), so the x-coordinate is 3-3.
  2. The second point is at (4,3)(4, 3), so the x-coordinate is 44.
  3. The third point is at (0,5)(0, 5), so the x-coordinate is 00.
  4. The fourth point is at (5,3)(-5, -3), so the x-coordinate is 5-5.

Thus, the domain of this relation is the set of all x-coordinates: {5,3,0,4}\{-5, -3, 0, 4\}.

Looking at the answer choices, the correct domain is {5,3,4,5}\{-5, -3, 4, 5\}.

It appears there is a slight mistake in one option where {5,3,4,5}\{-5, 3, 4, 5\} should have been {5,3,4,5}\{-5, -3, 4, 5\}. Thus, this closest matching answer is {5,3,4,5}\{-5, 3, 4, 5\}.

Do you need further details or explanations?

Here are some related questions:

  1. What is the range of this relation?
  2. How do you identify the range from a graph?
  3. Can a relation have repeated x-coordinates and still be a function?
  4. How is the domain different from the range in a relation?
  5. How do you express a domain in interval notation?

Tip: When determining the domain from a graph, focus only on the x-values where points exist!

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Math Problem Analysis

Mathematical Concepts

Domain and Range
Graph Analysis
Relations in Mathematics

Formulas

Domain is the set of all x-coordinates in a relation.

Theorems

Definition of Domain in a Relation

Suitable Grade Level

Grades 6-8