sorry the question is f(x) = x³-6x²+9x-4

Thank you for clarifying. Let's work with the correct function:

\[ f(x) = x^3 - 6x^2 + 9x - 4 \]

Would you like to find a specific property or feature of this function (e.g., roots, critical points, or behavior at certain values)? Here are some common analyses we can perform:

1. **Find the roots** of the function \( f(x) \).
2. **Determine the critical points** (where the derivative is zero or undefined).
3. **Find the inflection points** (where the second derivative changes sign).
4. **Sketch the graph** of the function \( f(x) \).
5. **Analyze the behavior** of the function as \( x \) approaches infinity or negative infinity.

Please let me know which aspect you'd like to explore, or if you have any specific questions about the function!

Explore the cubic polynomial function f(x) = x³ - 6x² + 9x - 4. Learn how to find roots, determine critical points, and sketch its graph. This problem covers polynomial concepts, including cubic functions and their behavior. Suitable for Grades 11-12 students.

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