00:01
So we're asked to graph a sinusoidal function with a period of 30 and a range between 1 and 7.
00:07
I've set up my axes here so i have my maximum value, my minimum value, and my midpoint which is 4.
00:15
I'm going to draw in that midline because it makes it a lot easier to graph.
00:20
And then i also take the period and divide it into four sections.
00:25
So for sinusoidal function, the graph starts at the midline and at first quarter it goes up to the maximum.
00:33
And in the next quarter it goes back to the midline.
00:37
And at the next quarter it goes not up but down to the minimum.
00:43
And then back up to the midline.
00:47
And we get this look.
00:50
Now looking at the graph it's really easy to come up with the fact that a, the amplitude, is 3...