Let’s go through each graph and identify its domain and range:

9. Diamond-shaped graph

• Domain: The x-values range from $-2$ to $2$, inclusive.
• Range: The y-values range from $-2$ to $2$, inclusive.

10. Sigmoid-like curve (S-shaped graph)

• Domain: All real numbers ($-\infty$ to $\infty$).
• Range: Appears to approach $-2$ and $2$, so the range is $(-2, 2)$.

11. Parabola opening upward

• Domain: All real numbers ($-\infty$ to $\infty$).
• Range: Starts at $0$ and goes to infinity ($[0, \infty)$).

12. Ellipse

• Domain: The x-values range from $-3$ to $3$, inclusive.
• Range: The y-values range from $-2$ to $2$, inclusive.

13. Wave-like periodic graph

• Domain: All real numbers ($-\infty$ to $\infty$).
• Range: The y-values range from $-2$ to $2$, inclusive.

14. Horizontal line

• Domain: All real numbers ($-\infty$ to $\infty$).
• Range: The y-value is constant, so the range is just $1$ ($\{1\}$).

If you'd like further clarifications or want me to verify anything else, let me know!

Here are some related questions to deepen your understanding:

1. How do domain and range relate to the concept of functions?
2. Why is the domain of a parabola all real numbers?
3. How can you determine the range of a wave-like graph such as in #13?
4. Can an ellipse represent a function? Why or why not?
5. Why does the horizontal line in #14 have a single value as its range?

Tip: When determining the domain and range from a graph, always check the boundaries of the x and y values visually.