00:01
So first thing here is that we're given this function 5x squared and we're going from 0 to 5 here where 0 is not included.
00:09
So to draw our sketch.
00:12
So first thing, let's start with the graph.
00:15
We know that at 0 here, plug in 0, we get 0.
00:18
So put an open circle because it's not included.
00:21
And then it's going to go upwards from here, right? being with this point right here at 5, so it would be 5 squared times 5 here, so this would be 5 comma 125, right there.
00:37
And so we have a solid point right here.
00:42
In fact, i'm just going to, since it's just going to that point there, i'm just going to consider that, let me have that there.
00:50
So with that being the case here, we have that this is the absolute max, and it's also a local max as well...