Given the function:
[tex]f(x)=\sin (\frac{\pi x}{2})[/tex]
To graph the function, we will identify the maximum and the minimum points
As we can see, the coefficient of the function = 1
So, the maximum will be at f = 1
And the minimum will be at f = -1
The period of the function will be as follows:
[tex]p=\frac{2\pi}{\frac{\pi}{2}}=4[/tex]
So, beginning from the point (0, 0) then rise till we reach the maximum at ((1, 0) then complete the sine wave
The graph of the function will be as shown in the following picture:
