a. Graph the functions f(x) = xⁿ for n = 2, 4, and 6 in a [-2, 2, 1] by [-1, 3, 1] viewing rectangle.
b. Graph the functions f(x) = xⁿ for n = 1, 3, and 5 in a [-2, 2, 1] by [-2, 2, 1] viewing rectangle.
c. If n is positive and even, where is the graph of f(x) = xⁿ increasing and where is it decreasing?
d. If n is positive and odd, what can you conclude about the graph of f(x) = xⁿ in terms of increasing or decreasing behavior?
e. Graph all six functions in a [-1, 3, 1] by [-1, 3, 1] viewing rectangle. What do you observe about the graphs in terms of how flat or how steep they are?