https://file.aiquickdraw.com/mathbot/file/1728791363815862oxr0b.jpg

It seems you have uploaded the same image again. The evaluation of the function \( f(x) = -2x^3 - 3x^2 + x + 2 \) when \( x = 0 \) remains as follows:

### Step-by-Step:
Substitute \( x = 0 \) into the function:

\[
f(0) = -2(0)^3 - 3(0)^2 + 0 + 2 = 2
\]

Therefore, the value of the function when \( x = 0 \) is **2**.

The correct answer is \( \boxed{2} \).

If you have any more questions or need clarification, feel free to ask! 

Here are 5 related questions for further understanding:
1. What is the value of \( f(x) \) when \( x = 1 \)?
2. How would you graph this cubic function?
3. What are the points where the function crosses the x-axis?
4. How does the function behave for large negative values of \( x \)?
5. What is the second derivative of the function \( f(x) \)?

**Tip:** Always verify your substitutions carefully when working with polynomials to avoid small mistakes.

Evaluate the function f(x) = -2x^3 - 3x^2 + x + 2 when x = 0.

Learn how to evaluate the cubic function f(x) = -2x^3 - 3x^2 + x + 2 at x = 0 with a clear step-by-step solution. This problem covers key algebraic concepts, polynomial evaluation, and is suitable for students in Grades 9-12.

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