Answer:
See below for a graph
Explanation:
First of all, observe that both portions of the piecewise function include the "or equal to" case. This means they have a common point at x=3. That point is (3, -6). It can help to start by graphing that point.
The portion of the curve for x ≤ 3 has a slope of -1/3, so will drop 1 unit for each 3 units it goes to the right. Since we're interested in graphing it to the left of point (3, -6), we note this means it rises 1 unit for each 3 units to the left. That is, pint (3 -3, -6+1) = (0, -5) will be on the graph. The ray to the left will start at (3, -6) and go through (0, -5).
The portion of the curve for x ≥ 3 has a slope of -2, so will drop 2 units for each unit it goes to the right. That is, point (3+1, -6-2) = (4, -8) will be on the graph. The ray to the right will start at (3, -6) and go through (4, -8).