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
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
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