1. The problem is to graph the piecewise function $$f(x) = \begin{cases} 1 - x & \text{if } x < 0 \\ 1 & \text{if } x = 0 \\ x + 1 & \text{if } x > 0 \end{cases}$$. 2. This function has three parts depending on the value of $x$: - For $x < 0$, the function is a line with equation $f(x) = 1 - x$. - At $x = 0$, the function value is $f(0) = 1$. - For $x > 0$, the function is another line with equation $f(x) = x + 1$. 3. To graph this, plot the line $y = 1 - x$ for negative $x$ values, plot the point $(0,1)$, and plot the line $y = x + 1$ for positive $x$ values. 4. Note that both lines meet at the point $(0,1)$, so the function is continuous at $x=0$. 5. The graph consists of two rays and a single point connecting them at $x=0$. Final answer: The piecewise function is graphed as described above.