Use a graphing utility to graph the functions y1 = -1/3 (x - 2)5 + 1 and y2 = 3/5 (x + 2)5 - 3.
a. Determine whether the graphs of y1 and y2 are increasing or decreasing. Explain.
b. Will the graph of g (x) = a(x - h)5 + k always be strictly increasing or strictly decreasing? If so, is this behavior determined by a, h, or k? Explain.
c. Use a graphing utility to graph f (x) = x5 - 3x2 + 2x + 1. Use a graph and the result of part (b) to determine whether f can be written in the form f (x) = a(x − h)5 + k. Explain.