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The question asks for the value of the polynomial function \( f(x) = 2x^4 - 3x^3 - 2x - 4 \) when \( x = -1 \).

### Solution:
We substitute \( x = -1 \) into the function:

\[
f(-1) = 2(-1)^4 - 3(-1)^3 - 2(-1) - 4
\]

**Step-by-step calculation:**

1. \( (-1)^4 = 1 \), so \( 2 \times 1 = 2 \)
2. \( (-1)^3 = -1 \), so \( -3 \times (-1) = 3 \)
3. \( -2 \times (-1) = 2 \)
4. The constant term is \( -4 \)

Now, sum all these values:

\[
f(-1) = 2 + 3 + 2 - 4
\]

\[
f(-1) = 3
\]

Thus, the value of the polynomial when \( x = -1 \) is:

\[
f(-1) = 3
\]

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Do you need further details or have any questions?

### Related Questions:
1. How do you find the derivative of \( f(x) = 2x^4 - 3x^3 - 2x - 4 \)?
2. What are the roots of the polynomial \( f(x) = 2x^4 - 3x^3 - 2x - 4 \)?
3. How does the behavior of the polynomial change at positive and negative \( x \)-values?
4. What is the degree and leading coefficient of this polynomial?
5. How would you evaluate this polynomial at \( x = 2 \) instead of \( x = -1 \)?

### Tip:
When substituting negative values into polynomials, be extra careful with the signs, especially with odd and even exponents!

Diketahui ada suku banyak f(x) = 2x^4 - 3x^3 - 2x - 4. Berapa nilai suku banyak apabila x = -1?

Find the value of the polynomial f(x) = 2x^4 - 3x^3 - 2x - 4 when x = -1. This algebra problem involves polynomial evaluation suitable for students in Grades 9-12.

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