Question

find f(0) for the piece - wise function.
f(x) = \

$$\begin{cases}x & \\text{if }x\\leq0 \\\\x + 1 & \\text{if }x>0\\end{cases}$$

f(0)=?

Explanation:

Step1: Identify the correct part of the function

Since \(x = 0\) and the condition for the first - part of the piece - wise function is \(x\leq0\), we use \(f(x)=x\).

Step2: Substitute \(x = 0\)

Substitute \(x = 0\) into \(f(x)=x\), so \(f(0)=0\).

Answer:

\(0\)