Math Problem Statement

What are the domain and range of this relation?

Solution

To find the domain and range of the given relation:

Domain:

The domain consists of all the x-coordinates of the points in the relation. From the graph, the x-coordinates of the points are:

  • 5-5
  • 3-3
  • 1
  • 2

So, the domain is: {5,3,1,2}\{-5, -3, 1, 2\}.

Range:

The range consists of all the y-coordinates of the points in the relation. From the graph, the y-coordinates of the points are:

  • 1-1
  • 1
  • 3
  • 5

So, the range is: {1,1,3,5}\{-1, 1, 3, 5\}.

Thus, the correct answer is:

Domain: {5,3,1,2}\{-5, -3, 1, 2\}
Range: {1,1,3,5}\{-1, 1, 3, 5\}

This matches the third option in the provided answers.


Would you like more details or have any questions?

Here are 5 related questions to expand on this concept:

  1. What is the domain and range of a linear function like y=2x+3y = 2x + 3?
  2. How do the domain and range change if a relation includes more points?
  3. What is the domain of the function y=1xy = \frac{1}{x}?
  4. How can the range of a quadratic function y=x2y = x^2 be determined?
  5. What is the difference between the domain and range of a discrete versus a continuous relation?

Tip: When identifying the domain and range from a graph, the domain refers to all possible x-values, while the range refers to all possible y-values where points exist.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Domain
Range
Relations
Graph interpretation

Formulas

-

Theorems

-

Suitable Grade Level

Grades 6-8