(a) Graph each of the following functions on the same screen, using the viewing rectang...

(a) Graph each of the following functions on the same screen, using the viewing rectangle [0, 1, 0.2] × [0, 1, 0.2].

(b) Describe, in complete sentences, the pattern you see in your results in part (a). On the basis of your results in part (a), draw (by hand) a sketch of what you think the graph of y = x¹⁰⁰ must look like in this interval. Then use a graphing utility to see how accurate your sketch was.