Graph the function. Identify three points on the graph.
f left parenthesis x right parenthesis equals x cubed
x=-1,0,1

The graph above shows the function \( f(x) = x^3 \). The three points on the graph corresponding to \( x = -1 \), \( x = 0 \), and \( x = 1 \) are:

- \( (-1, -1) \)
- \( (0, 0) \)
- \( (1, 1) \)

Would you like a more detailed explanation of the graph or the function? Here are five related questions:

1. How does the graph of \( x^3 \) compare to other polynomial functions?
2. What are the key features of cubic functions like \( f(x) = x^3 \)?
3. How would the graph change if we transformed \( f(x) = x^3 \) (e.g., scaling or translating)?
4. What happens to the function's values as \( x \to \infty \) or \( x \to -\infty \)?
5. How do you determine the inflection point of \( f(x) = x^3 \)?

**Tip:** For cubic functions like \( f(x) = x^3 \), the slope of the graph increases as \( x \) increases, causing the curve to steepen.

Graph the function. Identify three points on the graph. f(x) = x^3, x = -1, 0, 1

Learn how to graph the cubic function f(x) = x^3 by identifying key points at x = -1, 0, and 1. Explore the characteristics of cubic functions and their behavior, suitable for students in Grades 9-12.

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