f(x)={ 

−(x+7) 

2

 −2

−5

​
  
 for x



=−5 

1

1

​
 
 for x=−5 

1

1

​
 
​
 
Find , f, of, minus, 5

Find f(−5)

To find \( f(-5) \), we need to use the definition of the function \( f(x) \) at \( x = -5 \).

From your piecewise function:

- \( f(x) = -(x + 7)^2 - 2 \) when \( x \neq -5 \)
- \( f(x) = 1 \) when \( x = -5 \)

Since you are looking for \( f(-5) \), we use the second part of the function definition where \( f(x) = 1 \) for \( x = -5 \).

Thus, \( f(-5) = 1 \).

Would you like further explanation on this?

Here are 5 related questions:
1. What is the value of \( f(x) \) when \( x = -4 \)?
2. How does the function behave for values close to \( x = -5 \)?
3. What would \( f(x) \) equal for \( x = 0 \)?
4. How would you graph this piecewise function?
5. Can we discuss the significance of piecewise functions?

**Tip:** When working with piecewise functions, always carefully check the conditions for each segment to avoid confusion.

f(x) = { −(x + 7)^2 − 2 for x ≠ -5, 1 for x = -5. Find f(−5)

Discover how to evaluate the piecewise function f(x) at x = −5, where f(x) is defined as −(x + 7)^2 − 2 for x ≠ −5 and 1 for x = −5. This problem demonstrates the proper handling of piecewise functions and function evaluation. Suitable for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation