https://file.aiquickdraw.com/mathbot/file/1726450951430hc8inbbj.jpg

Let's analyze the graph to determine the domain and range of the relation \( G \).

1. **Domain**: The domain consists of all the \( x \)-coordinates of the points on the graph. Looking at the points on the graph, the \( x \)-coordinates are:
   - \( x = -2 \)
   - \( x = 0 \)
   - \( x = 3 \)
   - \( x = 4 \)

   So, the domain is:
   \[
   \text{Domain} = \{-2, 0, 3, 4\}
   \]

2. **Range**: The range consists of all the \( y \)-coordinates of the points on the graph. The \( y \)-coordinates are:
   - \( y = -4 \)
   - \( y = -2 \)
   - \( y = 1 \)
   - \( y = 4 \)

   So, the range is:
   \[
   \text{Range} = \{-4, -2, 1, 4\}
   \]

Thus, the domain and range of the relation \( G \) are:
\[
\text{Domain} = \{-2, 0, 3, 4\}
\]
\[
\text{Range} = \{-4, -2, 1, 4\}
\]

Would you like further clarification on this, or should I provide additional details?

Here are five related questions to expand on this topic:
1. What is the difference between the domain and range of a function?
2. Can a relation have the same \( x \)-value mapped to multiple \( y \)-values?
3. How do we determine if a relation is a function from its graph?
4. How does the range change if we reflect the graph across the \( x \)-axis?
5. What is the domain and range for common functions like \( f(x) = x^2 \) or \( f(x) = \sin(x) \)?

**Tip**: When identifying the domain and range from a graph, always check the extent of the points on both the \( x \)-axis and the \( y \)-axis for a clear set of values.

The graph of the relation G is shown below. Give the domain and range of G.

This page explains how to determine the domain and range of a relation using its graph. The example includes a relation G plotted on a coordinate plane with specific points marked, showcasing how to identify all x-coordinates for the domain and y-coordinates for the range.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation