Math Problem Statement

What is the domain and range of the square graph shown in the image?

Solution

The image you have provided shows a graph with a square positioned at a tilt along the axes. To determine the domain and range of the square, let's break it down.

Domain:

The domain refers to the possible xx-values that the shape covers. From the image:

  • The square stretches horizontally from 3-3 to 33 on the xx-axis.

Thus, the domain is: [3,3][-3, 3]

Range:

The range refers to the possible yy-values that the shape covers. From the image:

  • The square stretches vertically from 3-3 to 33 on the yy-axis.

Thus, the range is: [3,3][-3, 3]

Would you like further clarification on any part of this?

Here are some related questions:

  1. How do you find the domain and range of different shapes?
  2. What is the significance of the axes' intersection in determining the domain and range?
  3. How does the orientation of a shape affect its domain and range?
  4. How can this concept be applied to more complex functions?
  5. What are other geometric transformations that affect the domain and range?

Tip: Always check for symmetry in the shape when determining the domain and range, as this can make the process easier.

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Math Problem Analysis

Mathematical Concepts

Geometry
Coordinate Planes
Domain and Range

Formulas

Domain: the set of all x-values
Range: the set of all y-values

Theorems

Symmetry of geometric shapes on the coordinate plane

Suitable Grade Level

Grades 6-8