Answer: Graph is shown below.
Explanation
This is a piecewise function. It's the result of plotting multiple pieces of other functions together. In this case we graph:
We will only graph each based on the intervals given. For instance, the line y = x+6 is only graphed when x ≤ -2.
Note the use of open holes vs closed filled in endpoints. An open hole is due to the lack of "or equal to" in the inequality sign. This occurs when x > 1 meaning that we don't include x = 1 as part of the third piece.
I used GeoGebra to make the graph shown below.
