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The function \( f(x) \) is a piecewise function defined as:

\[
f(x) = \begin{cases} 
x & \text{for } x \neq 5 \\
-5 & \text{for } x = 5 
\end{cases}
\]

You are asked to find \( f(7) \).

Since \( 7 \neq 5 \), we use the first case of the piecewise function, which tells us that \( f(x) = x \) for \( x \neq 5 \).

Thus,

\[
f(7) = 7
\]

Let me know if you'd like further clarification or a breakdown of the steps!

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Here are five related questions for further exploration:

1. What is \( f(5) \) for this function?
2. How would the function behave for negative values like \( f(-3) \)?
3. What is the domain and range of the function \( f(x) \)?
4. How would you graph this piecewise function?
5. Can you modify the piecewise function to handle a different value for \( x = 5 \)?

**Tip:** Always check which condition in a piecewise function applies before plugging in a value for \( x \).

f(x) = { x for x ≠ 5, -5 for x = 5 }, Find f(7)

Explore how to evaluate the piecewise function f(x) where f(x) = x for x ≠ 5 and f(x) = -5 for x = 5. This problem demonstrates basic function evaluation for Grades 9-12 students.

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