Graph the pair of functionsy = x sin(x)y = 3 sin(x)using the following settings:a. Are the...

Graph the pair of functions

y = x sin(x)

y = 3 sin(x)

using the following settings:

a. Are the x-intercepts the same for both graphs?

b. What is the amplitude for y = 3 sin fx)?

c. What do you notice about the amplitude of y = x sinfx)?

d. What effect does A being a variable have on the graph of y = A sin x?

Use the same settings to graph the functions y = x sinfx), y = x, and y = ֊x.

e. What do you notice about the two linear graphs?

f. What do you know about the sine function that would allow you to anticipate that thetwolinesy = xandy = - x would be boundary graphs for y = xsin(x)?