https://file.aiquickdraw.com/mathbot/file/1728943303710fd4gicfn.jpg

The problem asks to compute two expressions based on the function \( f(x) = x^2 + x - 7 \):

### Part A: \( f(-4) + f(2) \)
1. First, we need to compute \( f(-4) \):
   \[
   f(-4) = (-4)^2 + (-4) - 7 = 16 - 4 - 7 = 5
   \]
2. Next, we compute \( f(2) \):
   \[
   f(2) = (2)^2 + 2 - 7 = 4 + 2 - 7 = -1
   \]
3. Add these two values:
   \[
   f(-4) + f(2) = 5 + (-1) = 4
   \]

### Part B: \( f(-4) - f(2) \)
1. Using the values we computed earlier:
   \[
   f(-4) - f(2) = 5 - (-1) = 5 + 1 = 6
   \]

So, the answers are:
- A: \( f(-4) + f(2) = 4 \)
- B: \( f(-4) - f(2) = 6 \)

Would you like any further explanation or details?

Here are 5 related questions to extend your understanding:
1. How do you find the value of \( f(x) \) for any given \( x \)?
2. What is the general process for evaluating a quadratic function?
3. How would you find the derivative of \( f(x) = x^2 + x - 7 \)?
4. How does the graph of \( f(x) = x^2 + x - 7 \) look, and what are its key features?
5. How do you determine the roots of the quadratic equation \( f(x) = 0 \)?

**Tip:** Always double-check your substitutions when evaluating functions to avoid simple errors.

Suppose f(x) = x^2 + x - 7. Compute the following: A) f(-4) + f(2), B) f(-4) - f(2)

Learn how to evaluate the function f(x) = x^2 + x - 7 for specific values of x. This problem involves basic function evaluation and applying algebraic techniques to compute f(-4) + f(2) and f(-4) - f(2). Suitable for students in Grades 9-11.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation