Hi Steph,

I am going to look at a slightly different function.

This piecewise function is made from three different functions and I would start by graphing each individually.

y = -x + 2

y = 2

y = 1/2 x + 1

You only want the piece of the first graph in the region of the palne described by x < 1.

You only want the piece of the second graph in the region of the palne described by 1 ≤ x < 5 .

You only want the piece of the third graph in the region of the palne described by 5 < x.

I then cut out these three pieces and put them om one graph

I'm almost done. The problem I see is that the algebraic description of the function says that when x = 1 the value of the function is 2, and this is not clear from the graph. I would put at dot at (1,2) to show this.

graph of y = f(x)

Penny