https://file.aiquickdraw.com/mathbot/file/17302208629765c23ht2g.jpg

To determine the domain of the function based on the graph shown:

1. **Domain**: The function appears to have values for \( x \) ranging from \(-10\) to \(10\). Since the graph is continuous within this interval, the domain includes all real values between these bounds, written as:
   \[
   \{ x \mid -10 \leq x \leq 10 \}
   \]

2. **Range**: The range of \( y \) is determined by observing the vertical extent of the function. The values of \( y \) appear to span from \(-10\) to \(10\) as well, so the range is:
   \[
   \{ y \mid -10 \leq y \leq 10 \}
   \]

### Answer Selection
Looking at the multiple-choice options, the answer that best describes the domain in the narrowest possible terms is:
- **Option F:** \( \{ x \mid -10 \leq x \leq 10 \} \).

This correctly reflects that \( x \) can take any real value within this closed interval.

Would you like further details, or do you have any specific questions?

---

**Related Questions:**
1. What is the difference between domain and range?
2. How do you determine the domain of a function from its graph?
3. How would the domain change if the endpoints were open rather than closed?
4. What does set-builder notation mean in defining domains?
5. Can we determine the type of function from the graph alone?

**Tip:** Always check for any restrictions in the graph, like open or closed dots, to accurately determine the domain and range.

Use set-builder notation to describe the domain and range of the function. Select the correct choice for the domain based on the graph provided.

Learn how to determine the domain and range of a function from its graph using set-builder notation. This solution guides students in interpreting continuous functions and applying domain constraints. Suitable for students in Grades 9-12.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation