Given:
The function is given as,
[tex]f(x)=\sin (\frac{\pi x}{2})\text{ . . . . . . (1)}[/tex]
The objective is to plot the graph of the function.
Explanation:
To find the maximum point, consider x = 1 in the equation (1),
[tex]\begin{gathered} f(1)=\sin (\frac{\pi(1)}{2}) \\ f(1)=\sin (\frac{\pi}{2}) \\ f(1)=1 \end{gathered}[/tex]
Thus, the coordinate is (1,1).
To find the minimum point, consider x = -1 in equation (1).
[tex]\begin{gathered} f(-1)=\sin (\frac{\pi(-1)}{2}) \\ f(-1)=\sin (\frac{-\pi}{2}) \\ f(-1)=-\sin (\frac{\pi}{2}) \\ f(-1)=-1 \end{gathered}[/tex]
Thus, the coordinate is (-1,-1).
To plot the graph:
The graph of the function will be,
Hence, the graph of the function is obtained.
