The idea is to go through each answer choice and see if that value is in the range. To do so, draw a horizontal line from that value at the y axis and see if it crosses the graph.
So for example, for choice A, we draw a horizontal line through -2 on the y axis. You'll see that the horizontal line crosses the green part of the piecewise function graph. So y = -2 is in the range. Similar situations will happen for B and C as well.
The only time that this doesn't happen is when y = 5. Draw a horizontal line through 5 on the y axis. This horizontal line is too high to cross through any part of the piecewise function. So y = 5 is not in the range.
