Chapter 6.4, Problem 103AYU

To determine

To solve: how the amplitude and period of sinusoidal graph are used to establish the scale on each coordinate axis.

Explanation of Solution

The amplitude represents maximum distance of graph from its central line. Assuming the graph isn’t shifted vertically, then vertical window should be no smaller than to include the entire graph.

The horizontal scale depends on number of periods and whether $t=0$ is starting point. To show at least two periods, starting at $t=0$ , the horizontal window should be no smaller than $[0,2(period)].$