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.