To solve the function \( f(x) = x^2 + 2x - 2 \) at \( x = -1 \), we substitute \( x = -1 \) into the function:

\[
f(-1) = (-1)^2 + 2(-1) - 2
\]

Now, let's calculate this step by step:

1. \( (-1)^2 = 1 \)
2. \( 2(-1) = -2 \)
3. Therefore, \( f(-1) = 1 - 2 - 2 \)

Simplifying further:

\[
f(-1) = 1 - 4 = -3
\]

So, the value of the function \( f(x) \) when \( x = -1 \) is \( f(-1) = -3 \).

Would you like further details on this calculation, or do you have any other questions?

Here are 8 related questions:
1. What is the function value at \( x = 0 \)?
2. How does the value change if \( x = 1 \)?
3. Can you find the derivative of \( f(x) \) and evaluate it at \( x = -1 \)?
4. What is the significance of the vertex of the parabola represented by \( f(x) \)?
5. How would the function behave for very large positive or negative values of \( x \)?
6. What are the roots of the function \( f(x) = 0 \)?
7. How would you rewrite \( f(x) \) by completing the square?
8. What is the range of the function \( f(x) \)?

**Tip:** Evaluating functions at specific points is a common way to understand their behavior locally, especially when analyzing graphs.

Learn how to evaluate the function f(x) = x^2 + 2x - 2 at x = -1 with a step-by-step solution. This problem covers function evaluation, quadratic functions, and algebraic manipulation. Suitable for high school students and beyond.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation