In this exercise we consider the family of root functions f(x) x, where is a positive integer (a) Graph the functions y x, y 4x, and y 6x on the same screen using the viewing rectangle 1, 4 by 1, 3 (b) Graph the functions y x, y 3x, and y 3x on the same screen using the viewing rectangle 3, 3 by 2,...

a The root functions y X y 4 x and y 6 x b The root func ...

In this exercise we consider the family of root functions f(x) = x, where is a positive

Question:

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