Given the piecewise function
$$f(x)=\{\begin{array}{lll}x& \text{ if }& x<2\\ -x+4& \text{ if }& x\ge 2\end{array}$$
Graph the function.
Note: Be sure to include closed or open dots, but only at breaks in the graph.

Arrows are assumed if no end symbols are shown.

Step 1 ：First, we need to understand the function. It is a piecewise function with two parts. The first part is the linear function $x$ for $x<2$, and the second part is a linear function $-x+4$ for $x\ge 2$.

Step 2 ：Let's graph the first part of the function, which is $x$ for $x<2$. This is a straight line with a slope of 1 and a y-intercept of 0. However, since it's only for $x<2$, we only draw the line for the part where $x<2$.

Step 3 ：Next, we graph the second part of the function, which is $-x+4$ for $x\ge 2$. This is a straight line with a slope of -1 and a y-intercept of 4. Since it's only for $x\ge 2$, we start the line at the point where $x=2$ and $y=2$, and extend it to the right.

Step 4 ：Finally, we combine the two parts of the graph to get the graph of the entire function. The graph should look like a straight line sloping upwards for $x<2$ and a straight line sloping downwards for $x\ge 2$.

Step 5 ：Remember to include closed or open dots at breaks in the graph. In this case, we should have an open dot at $x=2$ on the line $y=x$, and a closed dot at $x=2$ on the line $y=-x+4$.