Question

Someone PLEASE HELP ME!
Explain what happens to the graph of y = xn, where n is an even positive integer, as n increases. Describe changes for x between – 1 and 1 and for x greater than 1 or less than – 1. Explain why these changes happen.

Answer 1

Never mind, found the answer.The graph will get flatter from –1 to 1.As you raise a proper fraction to higher even powers, you get smaller values, so the y-values get closer to the x-axis.The graph will get closer to the y-axis, or narrower.As you raise values greater than 1 (or less than –1) to higher even powers, you get larger values, so the graph increases at a faster rate.