00:01
For this function, or for this question, we have another piecewise function where we are graphing 2 sine x from 0 to pi and cosine x plus 1 from pi to 2 pi.
00:16
So let's start just by marking down where pi is.
00:21
That would be at the midpoint of this graph from 0 to 2 pi.
00:25
So here is where we're going to be stopping our graph of 2 sine x and starting our graph of cosine x plus 1.
00:36
So for 2 sine x, our maximum is going to be at 2 and our minimum is going to be at negative 2.
00:46
But we'll see later we won't end up coming down here.
00:50
And then for cosine x plus 1, our maximum is going to be 2 again.
00:57
And let's also put a point at 1.
00:59
So we know where our midline of the graph is.
01:06
So when we're graphing 2 sine x over to pi, that's just how we normally draw our sign function.
01:15
So we come up, we hit 2, and then we come down through pi...