00:01
All right, so the way i'm interpreting this problem, so the graph of the derivative goes up to two, starts at two, goes down to one for the next interval from one to two, one, two, and then jumps down to negative one from two to three.
00:26
Now, the way i'm interpreting this graph is the first thing is, since we're asked for the graph, is that f of zero equals negative 1.
00:36
So we have to start right here.
00:37
Now, what i'm seeing is that the, this is like the slope.
00:44
So the slope is 2 from x equals 0 to x equals 1.
00:51
Yeah, so that's going up to right 1.
00:54
You know, it looks something like this.
00:56
Now they tell you it's continuous, so you need to define, this is your new starting point, but then the slope changes, because this is your slope, this is the, like the derivative of this, changes to one.
01:09
So it stops right there and goes up, and then it changes to negative one.
01:16
So because it's continuous, you have to connect the dots.
01:19
So it looks something like this...