Respuesta :

It is a sinusoidal graph, which oscilates around the x-axis (y=0), from y = -0.5 to y = 0.5

General description (as reference)
It passes through the origin (0,0), increases until the max value (y = 0.5) when x = π6, then start to decrease,  crosses the x-axis x = π/3, continues decreasing until the min value (y = -0.5) when x = 2π/3, then it starts to increase, crossing the x-axis again at x = 2π/3, and the pattern repeats indefinetely to the right of x = 2π/3 and to the left of x = 0.

 Specific description:

Amplitud: 0.5----> the coefficient in front of the sine function

Period: 2π/3 ----> 2π divided by the coefficient in front of the argument (3)

Points of intersection with the x-axis: 0 + /- nπ/3, with n = 0,1,2,3,.....

Type of function: odd

Maximun value: 1/2

Minimum value: -1/2

For the given sine function we have:

  • amplitude = 1/2
  • period = 2pi/3
  • intersections: θ = 0 and θ = pi/3.

How to describe the function?

We have:

y = (1/2)*sin(3θ).

This is a general sin function, the amplitude is 1/2, the number that multiples the function, and the period is given by:

3(θ + T) = 3θ + 2pi

3T = 2pi

T = (2pi)/3

So the period is (2pi)/3

And the points of intersection are the same ones that for the sine function:

θ = 0

θ = pi/3.

If you want to learn more about sine functions:

https://brainly.com/question/9565966

#SPJ5