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!