Betty and Stella are in business together making and selling birdhouses. Betty builds birdhouses out of old fence pickets, and Stella sells them in her store. Betty finds that if she has x fence pickets, then the number, N(x), of birdhouses that she is able to build can be approximated by N(x) = 2x 4. One might expect this function to be linear, but Betty's unique carpentry techniques prevent it from being so. Stella determines that the profit, P(x), in hundreds of dollars, that she can earn from the sale of x birdhouses can be approximated by P(x) = 8 220 2x. One might expect this function to be linear as well (or at least polynomial), but Stella's innovative approach to sales prevents it from being so.

1. Find the domain of N. 2. Identify the transformations from the graph of y = x that will produce the graph of y = N(x), then sketch the graph of y = N(x). 3. Use your graph to identify the range of N.