https://file.aiquickdraw.com/mathbot/file/1726092240451ui5ln47s.jpg

To determine the range of the given graph, we need to identify the minimum and maximum values that \( y \) can take.

1. The line graph shows two distinct points:
   - The first point is open at \( (-2, 2) \), which means this point is not included in the range.
   - The second point is closed at \( (4, -10) \), meaning this point is included in the range.

2. Observing the direction of the line, it is sloping downward from left to right. The range is determined by the \( y \)-values of the function, which decrease as \( x \) increases.

### Range:
- The highest \( y \)-value is 2 (corresponding to the open point at \( (-2, 2) \), but since it is an open circle, 2 is not included in the range).
- The lowest \( y \)-value is \( -10 \) (corresponding to the closed point at \( (4, -10) \)).

Thus, the range of the function, written as an inequality, is:
\[
y > -10 \text{ and } y < 2 \quad \text{or} \quad -10 \leq y < 2.
\]

Would you like any further clarifications or a detailed explanation?

Here are some related questions you might find helpful:
1. How do you determine the range of a function from a graph?
2. What is the difference between open and closed points on a graph?
3. How does the slope of a line affect its range and domain?
4. What are the implications of inequalities in graphing functions?
5. Can the domain and range of linear functions ever be restricted by the graph?

**Tip**: When analyzing a graph, always pay close attention to open and closed points, as they affect whether boundary values are included in the range.

Find the range of the function graphed below. Enter your answer as an inequality.

This problem teaches how to find the range of a linear function by analyzing the graph. The range is written as an inequality, showing the highest and lowest values of y for the function. Suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation