https://file.aiquickdraw.com/mathbot/file/1726589236406y4qptvg1.jpg

The graph you provided represents a curve that starts at \( x = 2 \) and continues to the right, extending towards \( x = 8 \). Based on this, we can determine the **domain** of the function, which refers to the set of possible input values for \( x \).

### Domain:
The domain starts at \( x = 2 \) and ends at \( x = 8 \). Since the graph is continuous between these points and includes both endpoints (represented by filled circles), the domain is:

\[
\boxed{[2, 8]}
\]

Would you like more details on how this is calculated? 

Here are some related questions to explore further:
1. How do we determine the range from this graph?
2. What is the significance of open vs. closed intervals in domain and range?
3. Can the curve in this graph represent a specific function type, like quadratic or exponential?
4. How do different transformations affect the domain of a function?
5. How can you calculate the domain of a more complex function analytically?

**Tip**: The domain of a function is typically found by observing the values of \( x \) for which the graph is defined (it has points). Always check for restrictions such as division by zero or square roots of negative numbers when calculating domain algebraically.

Determine the domain of the function shown in the graph (with x-values from 2 to 8).

Learn how to determine the domain of a function by observing a graph with input values ranging from x = 2 to x = 8. This guide explains key concepts related to domain and range, focusing on continuous functions and endpoint interpretation.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation