To evaluate the function $f(x) = 2x^3 + 5x - 4$ at the given values of $x = 0$ and $x = 1$, we will substitute these values into the equation:

Step 1: Evaluate at $x = 0$

$f(0) = 2(0)^3 + 5(0) - 4 = 0 + 0 - 4 = -4$

Step 2: Evaluate at $x = 1$

$f(1) = 2(1)^3 + 5(1) - 4 = 2 + 5 - 4 = 3$

Results:

• $f(0) = -4$
• $f(1) = 3$

Would you like more details or have any questions?

Here are some related questions:

1. What is the derivative of $f(x) = 2x^3 + 5x - 4$?
2. How do you find the roots of the equation $2x^3 + 5x - 4 = 0$?
3. What is the behavior of the function $f(x)$ as $x$ approaches positive or negative infinity?
4. Can you find the local minima or maxima of $f(x) = 2x^3 + 5x - 4$?
5. How would you graph the function $f(x) = 2x^3 + 5x - 4$?

Tip: When evaluating functions, always substitute the value of $x$ carefully to avoid arithmetic errors.