On the axes below, make an appropriate scale and graph exactly one cycle of the trigonometric function y=7 \sin 6 x.

Step 1 ：First, we need to understand the function \(y = 7 \sin 6x\). This is a sine function with an amplitude of 7 and a period of \(\frac{2\pi}{6} = \frac{\pi}{3}\).

Step 2 ：Next, we need to choose an appropriate scale for the x-axis. Since one cycle of the function is \(\frac{\pi}{3}\), we can choose a scale where \(\frac{\pi}{6}\) corresponds to one unit.

Step 3 ：For the y-axis, since the amplitude of the function is 7, we can choose a scale where 1 corresponds to one unit.

Step 4 ：Now, we can start to graph the function. The function starts at (0,0), reaches its maximum at \(\left(\frac{\pi}{12}, 7\right)\), returns to zero at \(\left(\frac{\pi}{6}, 0\right)\), reaches its minimum at \(\left(\frac{\pi}{4}, -7\right)\), and returns to zero at \(\left(\frac{\pi}{3}, 0\right)\).

Step 5 ：Finally, we need to check our graph. The graph should start and end at (0,0), reach a maximum of 7 and a minimum of -7, and have a period of \(\frac{\pi}{3}\). If all these conditions are met, then our graph is correct.