https://file.aiquickdraw.com/mathbot/file/1729277250813q160swzw.jpg

To determine which inequality best describes the **range** of the function shown in the graph, we need to analyze the vertical span (i.e., the y-values) that the graph covers.

- The line on the graph goes from the top left and slopes downward to the bottom right.
- The **highest** point on the graph occurs at \( y = 3 \), and the line starts from there.
- The **lowest** point is \( y = -3 \), where the line continues downward.

Thus, the function's y-values span from \( y = 3 \) at the top to \( y = -3 \) at the bottom.

Looking at the given answer choices:
- Option A: \( y \leq 3 \) correctly describes the range because the function's y-values include everything less than or equal to 3.

The correct answer is **A: \( y \leq 3 \)**.

Would you like more details or have any questions?

Here are 5 related questions for further exploration:
1. How is the range of a function different from its domain?
2. Can a range ever include only a single value? Under what conditions?
3. How do you determine the domain of a function given its graph?
4. What is the effect of increasing or decreasing the slope on the range of a function?
5. How would the range change if the graph were shifted upwards?

**Tip**: The range focuses on the y-values a function can take, while the domain refers to the x-values. Always look at the vertical extent of a graph to identify the range.

Which inequality best describes the range of the function shown on the graph?

Learn how to determine the range of a linear function by analyzing its graph. This problem covers key mathematical concepts related to functions and graphs, suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation