To evaluate the function $f(x) = 2x^3 + 4$ at $x = -3$, we substitute $-3$ for $x$ in the function:

$f(-3) = 2(-3)^3 + 4$

Now, calculate $(-3)^3$:

$(-3)^3 = -27$

Then, multiply $-27$ by $2$:

$2 \times (-27) = -54$

Finally, add $4$ to $-54$:

$-54 + 4 = -50$

Thus, the value of the function $f(-3)$ is $-50$.

Would you like more details or have any questions? Here are some related questions you might find helpful:

1. How do you find the derivative of $f(x) = 2x^3 + 4$?
2. What is the general process for evaluating polynomial functions?
3. How does changing the coefficient in a cubic function affect its graph?
4. What are the roots of the function $f(x) = 2x^3 + 4$?
5. How do transformations affect the graph of cubic functions?
6. What is the difference between evaluating a function and solving an equation?
7. How do you graph a cubic function like $f(x) = 2x^3 + 4$?
8. How does the leading coefficient affect the end behavior of a polynomial function?

Tip: When evaluating functions, always perform operations inside the parentheses first, then follow the order of operations.