https://file.aiquickdraw.com/mathbot/file/1726108270513r5a9huwg.jpg

what are the domain and range of this function ?

To find the **domain** and **range** of the linear function shown in the graph:

### Domain:
The domain represents the set of all possible \( x \)-values for which the function is defined.

- From the graph, the linear function starts at \( x = 2 \) and ends at \( x = 5 \).
- Thus, the domain is the closed interval:
\[
\text{Domain: } [2, 5]
\]

### Range:
The range represents the set of all possible \( y \)-values for which the function is defined.

- From the graph, the corresponding \( y \)-values for the function start at \( y = 2 \) and go up to \( y = 8 \).
- Thus, the range is the closed interval:
\[
\text{Range: } [2, 8]
\]

Let me know if you'd like more details on how to determine domain and range, or if you have any other questions.

Here are 5 questions related to this topic:
1. How do you determine the slope of the function from the graph?
2. What would the equation of this line be?
3. How would the domain change if the line extended further?
4. How does the range relate to the slope of the function?
5. Can a linear function have a domain or range that is not continuous?

**Tip:** The domain and range of a linear function are typically all real numbers unless the function is restricted in some way (like in this graph).

What are the domain and range of this function?

Learn how to determine the domain and range of a linear function from a graph. This problem involves interpreting the graph of a line segment, understanding the closed intervals for domain and range, and applying core mathematical concepts suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation