Question

I need help with this practice problem It has an additional pic of a graph that I will include.

Answer 1

Given:

The function is given as,

`f(x)=\sin ((\pi x)/(2))\text{ . . . . . . (1)}`

The objective is to plot the graph of the function.

Step-by-step explanation:

To find the maximum point, consider x = 1 in the equation (1),

`\begin{gathered} f(1)=\sin ((\pi(1))/(2)) \\ f(1)=\sin ((\pi)/(2)) \\ f(1)=1 \end{gathered}`

Thus, the coordinate is (1,1).

To find the minimum point, consider x = -1 in equation (1).

`\begin{gathered} f(-1)=\sin ((\pi(-1))/(2)) \\ f(-1)=\sin ((-\pi)/(2)) \\ f(-1)=-\sin ((\pi)/(2)) \\ f(-1)=-1 \end{gathered}`

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.