Math Problem Statement

Determine the domain and range for the relation in interval notation based on the provided graph.

Solution

From the graph you provided, the relation appears to be a rectangle bounded by specific points. We can identify both the domain and range based on the x-values and y-values represented on the graph.

Domain:

The domain is the set of all x-values that are part of the relation. By observing the graph, the horizontal extent of the rectangle is from x=5x = -5 to x=2x = -2.

Thus, the domain in interval notation is: [5,2]\boxed{[-5, -2]}

Range:

The range is the set of all y-values that are part of the relation. From the graph, the vertical extent of the rectangle is from y=3y = -3 to y=1y = 1.

Thus, the range in interval notation is: [3,1]\boxed{[-3, 1]}

Would you like more details on how these intervals were determined, or do you have any other questions?

Here are five related questions that expand on this topic:

  1. How is the domain and range of a relation defined in a more complex graph?
  2. Can a relation have the same domain but a different range?
  3. How would the domain and range change if the rectangle were rotated or skewed?
  4. What is the difference between the domain of a function and a relation?
  5. How can you apply domain and range concepts to real-world data?

Tip: When determining the domain and range, always look at the smallest and largest values along the x-axis and y-axis that are covered by the relation or function.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Domain
Range
Interval Notation
Coordinate Geometry

Formulas

-

Theorems

-

Suitable Grade Level

Grades 6-8