https://file.aiquickdraw.com/mathbot/file/1726144811320y3zhkeli.jpg

The function given in the image is defined as:

\[
f(x) = \begin{cases} 
5 & \text{for} \, x \neq 1 \\
1 & \text{for} \, x = 1
\end{cases}
\]

We are asked to find \( f(2) \).

Since \( 2 \neq 1 \), we use the case for \( x \neq 1 \), which is \( f(x) = 5 \).

Thus, \( f(2) = 5 \).

Would you like a deeper explanation or have further questions?

Here are 5 related questions to expand on this concept:

1. What is \( f(1) \) based on the function definition?
2. How would \( f(x) \) behave for \( x = 0 \)?
3. What is the domain of the function \( f(x) \)?
4. How does the concept of piecewise functions apply in real-world situations?
5. Can you define a similar piecewise function with more cases?

**Tip:** When dealing with piecewise functions, always check which condition the given \( x \)-value satisfies to select the correct rule for computation.

Find f(2) for the function f(x) = {5 for x ≠ 1, 1 for x = 1}

Learn how to evaluate the piecewise function f(x) for different values of x, including f(2). The function is defined as f(x) = 5 for x ≠ 1 and f(x) = 1 for x = 1. Suitable for students in Grades 7-9.

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