f(x)=2x^3+5x-4 use the numbers 0 and 1 for x

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.

Learn how to evaluate the polynomial function f(x) = 2x^3 + 5x - 4 at x = 0 and x = 1. This problem introduces key algebraic concepts, including cubic functions and polynomial evaluation. Suitable for students in Grades 9-12.

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