Question

If$f\left(x\right)=\left\{\begin{array}{l}x;x\le 0\\ 1;x>0\end{array}\right.$then what is$f\left(0\right)$?

Short answer

$f\left(0\right)=0$.

Step-by-step solution

Step 1. Given Information

Given a piece wise function :

$f\left(x\right)=\left\{\begin{array}{l}x;x\le 0\\ 1;x>0\end{array}\right.$

Step 2. The graph of the given function is as follows.

We need to find $f\left(0\right)$.

So when $x=0$,

$$\begin{gathered} f\left(x\right)=x \\ f\left(0\right)=0 \end{gathered}$$