a. On four copies of y = f(x) in Figure 1-8k, sketch the graphs of these four functions

Chapter 1, Problem R.6

(choose chapter or problem)

a. On four copies of y = f(x) in Figure 1-8k, sketch the graphs of these four functions: y = f(x), y = f(x), y = |f(x)| , and y = f(|x|). Figure 1-8k b. Function f in part a is defined piecewise: Plot the two branches of this function as y1 and y2 on your grapher. Does the graph agree with Figure 1-8k? Plot y = f(|x|) by plotting y3 = y1 (|x|) and y4 = y2 (|x|). Does the graph agree with your answer to the corresponding portion of part a? c. Explain why functions with the property f(x) = f(x) are called odd functions and functions with the property f(x) = f(x) are called even functions. d. Plot the graph of Use a friendly window that includes x = 3 as a grid point. Sketch the result. Name the feature that appears at x =