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The question asks to evaluate \( f(1) \), given the function \( f(x) = 3x^3 - 4 \).

### Steps to solve:

1. The function is \( f(x) = 3x^3 - 4 \).
2. To find \( f(1) \), substitute \( x = 1 \) into the function:
   \[
   f(1) = 3(1)^3 - 4
   \]
   \[
   f(1) = 3(1) - 4
   \]
   \[
   f(1) = 3 - 4 = -1
   \]

So, \( f(1) = -1 \).

Would you like more details or have any questions about this? Here are 5 related questions to deepen your understanding:

1. What is the general form of a cubic function, and how does it behave graphically?
2. How does substituting values into a function affect its output?
3. Can you evaluate \( f(-1) \) for the same function \( f(x) = 3x^3 - 4 \)?
4. What is the derivative of \( f(x) = 3x^3 - 4 \), and what does it represent?
5. How would you solve for \( x \) if \( f(x) = 0 \) for this function?

**Tip:** Always double-check your substitution when evaluating functions to avoid small mistakes in calculations!

Learn how to evaluate the cubic function f(x) = 3x^3 - 4 at x = 1 with this step-by-step guide. This problem helps solidify understanding of algebraic function evaluation. Suitable for students in Grades 9-11.

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