a. Graph the pair of functionsy = sin (x)y = sin(2x)using the following settings:b. What a...

a. Graph the pair of functions

y = sin (x)

y = sin(2x)

using the following settings:

b. What are the differences between the pure form y = sin(x) and y = sin(2x)?

c. Use the same settings to graph the pair of functions

d. What are the differences between the pure form y = sinfx) and y = sin(1/2x)?

e. Predict the period of y – sin(1/4 x) and verify your guess by using a graphing utility with an appropriate Xmin and Xmax.