https://file.aiquickdraw.com/mathbot/file/17265891097396535yil6.jpg

To determine the domain of the function shown in the graph, we need to examine the x-values over which the function is defined.

From the graph, we can observe that the function starts at \( x = -8 \) and ends at \( x = 6 \). Between these values, the graph is continuous, so the function is defined for all \( x \)-values within this interval.

Thus, the domain of the function in interval notation is:

\[
\boxed{[-8, 6]}
\]

Would you like further details, or have any other questions?

Here are 5 related questions to explore further:
1. What is the range of the function based on the graph?
2. How can you find the maximum and minimum values of the function?
3. What is the behavior of the function as \( x \) approaches the endpoints of the domain?
4. How can you determine if the function is increasing or decreasing at certain intervals?
5. Can this function have any vertical asymptotes or discontinuities?

**Tip:** When finding the domain, always check for any restrictions such as undefined points (e.g., division by zero or square roots of negative numbers), but in graphs like this, simply observe the endpoints.

Learn how to determine the domain of a function from its graph in interval notation. The function starts at x = -8 and ends at x = 6, and this guide will explain how to observe and understand the domain of a continuous graph. Suitable for high school students.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation