a wave is modeled with the function y=(1/2)sin 3x. describe the graph of this function including its period, amplitude, and points of intersection with the x axis. I think the amp. is 1/2 and period is 2pi/3??? don't know how to find points of intersection.

Question

a wave is modeled with the function y=(1/2)sin 3x.  describe the graph of this function including its period, amplitude, and points of intersection with the x axis.  I think the amp. is 1/2 and period is 2pi/3??? don't know how to find points of intersection.

kropot72 · Answer

You are correct in your values for the amplitude and period.
The points of intersection are found where y = 0.
What are the solutions of$$0=\frac{1}{2}\sin 3x$$

kropot72 · Answer

@berrypicking Are you there?

anonymous · Answer

yep

anonymous · Answer

don't know how to get soln

kropot72 · Answer

$$\frac{1}{2}\sin 3x=0\ when\ 3x=0,\ \pi,\ 2\pi,\ 3\pi,\ 4\pi,\ ...........\ ,\ n\pi$$
Now you need to solve for x to find each of the points of intersection with the x axis.

kropot72 · Answer

Hint: The first point of intersection is when x = 0/3 = 0

anonymous · Answer

(0,0)

anonymous · Answer

( pi/3,0),  (2pi/3,0)  (pi,0),  (4 pi/3,0)  is this it

kropot72 · Answer

You are correct. Good work! There is an infinite number of solutions so you should indicate this in your answer.

anonymous · Answer

thank you  .  I just didn't know what to make = to what.

kropot72 · Answer

You're welcome :)