00:01
To start off here, we're going to sketch our function f of t.
00:05
And we can notice that we have the function being just two from the range of zero to one.
00:11
So we can label one on the t axis.
00:15
And just draw a straight line until we get to one.
00:18
So that's the first part of our function.
00:20
The next part is we have 3 minus t from t being greater than equal to 1.
00:24
Well, when t equals 1, our function is 2.
00:27
So we're still going to start here.
00:28
And we know that when t is 3, our function has to be 0, so 3 minus 3 is 0.
00:34
So all we have to do is connect a straight line from here, and this goes on like that.
00:41
That's a quick sketch of our function.
00:44
Now we want to write our piecewise function in terms of some heavy side functions.
00:50
And we can do this since we have a 2 from 0 to 1.
00:54
So therefore we're going to want this to be 0 when t equals 1...