In this exerciser we consider the family of root functions f (x) = nx, where n is

Question:

In this exerciser we consider the family of root functions f (x) = n√x, where n is a positive integer.
(a) Graph the functions y = √x, y = 4√x, and y = 6√x on the same screen using the viewing rectangle [– 1, 4] by [– 1, 3].
(b) Graph the function y = x, y = 3√x, and y = 5√x on the same screen using the viewing rectangle [– 3, 4] by [– 2, 2]. (See Example 7)
(c) Graph the functions y = √x, y = 3√x, y = 4√x, and y = 5√x on the same screen using the viewing rectangle [– 1, 3] by [– 1, 2].
(d) What conclusions can you make from these graphs?