The function $f$ is defined by $f(x) = \begin{cases} 1 - x, & x < 0 \\ 1, & x = 0 \\ x + 1, & x > 0 \end{cases}$ Draw the graph of $f(x)$.

The function $f(x)$ is defined in three parts:
$1$. For $x < 0$,$f(x) = 1 - x$. This represents a straight line. For example,$f(-1) = 2$,$f(-2) = 3$,$f(-3) = 4$.
$2$. For $x = 0$,$f(0) = 1$. This is a single point $(0, 1)$.
$3$. For $x > 0$,$f(x) = x + 1$. This represents a straight line. For example,$f(1) = 2$,$f(2) = 3$,$f(3) = 4$.
Combining these,the graph consists of two rays starting from $(0, 1)$ extending into the second and first quadrants respectively.