(Graphing program optional.) One method of graphing

Chapter 9, Problem 9.2.10

(choose chapter or problem)

(Graphing program optional.) One method of graphing functions is called addition of ordinates. For example, to graph using this method, we would first graph y1 x. On the same coordinate plane, we would then graph . Then we would estimate the y-coordinates (called ordinates) for several selected x-coordinates by adding geometrically on the graph itself the values of y1 and y2 rather than by substituting numerically. This technique is often used in graphing the sum or difference of two different types of functions by hand, without the use of a calculator. a. Use this technique to sketch the graph of the sum of the two functions graphed in the accompanying figure. b. Use this technique to sketch the graph of y x2 x3 for 2 x 2. Then use a graphing tool (if available) and compare. c. Use this technique to graph y 2x x2 for 2 x 5. 1