To determine the domain and range of the function from the graph:

1. Domain:

The domain of a function is the set of all possible x-values for which the function is defined. Looking at the graph:

• The function starts at $x = -5$ and ends at $x = 5$.
• Therefore, the domain is $[-5, 5]$.

2. Range:

The range of a function is the set of all possible y-values that the function can take.

• The lowest point of the graph is at $y = -4$, and the highest point is at $y = 5$.
• Therefore, the range is $[-4, 5]$.

Answers in Interval Notation:

• Domain: $[-5, 5]$
• Range: $[-4, 5]$

If you have any questions or would like further details, let me know!

Related Questions:

1. How do you determine the domain of a function when it's not given a graph?
2. What is the difference between domain and range?
3. How do you write intervals in set notation versus interval notation?
4. What are some real-life examples where the concept of domain and range is applied?
5. How do you find the domain and range of more complex functions, like trigonometric or exponential functions?

Tip:

Always check the endpoints and any asymptotes or breaks in the graph when determining the domain and range!