Plugging in \( x = -\frac{2}{3} \) into the function \( x^3 - 4x^2 + 4x + 9 \) gives approximately 4.26, and plugging in \( x = 2 \) gives 9.

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Here are five related questions:
1. What is the derivative of the function \( x^3 - 4x^2 + 4x + 9 \)?
2. How do you find the critical points of this function?
3. What is the behavior of the function as \( x \to \infty \) and \( x \to -\infty \)?
4. How would you calculate the integral of this function over a specific interval?
5. How do you determine if the function has any inflection points?

**Tip:** When evaluating a polynomial at various points, always check if factoring the polynomial simplifies the process.

Plug in -2/3 and 2 into x^3 - 4x^2 + 4x + 9

Learn how to evaluate the polynomial function x^3 - 4x^2 + 4x + 9 by plugging in values for x. This detailed example calculates the function at x = -2/3 and x = 2, with approximate results of 4.26 and 9. Suitable for students in Grades 10-12.

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