Given the piecewise function \[ f(x)=\left\{\begin{array}{lll} x & \text { if } & x<2 \\ -x+4 & \text { if } & x \geq 2 \end{array}\right. \] 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 \(x \geq 2\).

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 \(x \geq 2\). This is a straight line with a slope of -1 and a y-intercept of 4. Since it's only for \(x \geq 2\), 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 \(x \geq 2\).

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 \(y=-x+4\).