The graph you provided shows a typical cubic function. This is evident from the S-shaped curve that crosses the origin (0,0) and continues to extend infinitely in both the positive and negative directions along the x-axis and y-axis.

Domain:

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

• For this cubic function, the graph extends infinitely in both directions along the x-axis.
• Domain: $\mathbb{R}$ or $(-∞, ∞)$

Range:

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

• Similarly, for the cubic function, the graph extends infinitely in both directions along the y-axis.
• Range: $\mathbb{R}$ or $(-∞, ∞)$

Would you like more details or have any questions about this problem?

Here are some related questions:

1. What are the key characteristics of a cubic function?
2. How does the derivative of a cubic function affect its graph?
3. How can we determine the inflection point of this cubic function?
4. What are some real-life examples where cubic functions are used?
5. How do cubic functions differ from quadratic functions in terms of their graphs?

Tip: When analyzing the domain and range of a function, always consider how far the graph extends in both the x and y directions.