00:01
Here, we're given a function graphically, and we're asked, where is it continuous? well, it's going to be continuous all the way through from 5 to 15, because i can draw the entire graph without ever lifting up my pencil.
00:17
However, we do have to consider the endpoints.
00:20
So at 5, the function is there.
00:24
So the limit equals the function value.
00:25
So i'm going to say it's continuous with a square bracket from 5 up until 15.
00:31
But at 15, it's not continuous because the function doesn't exist.
00:35
So that's the largest possible region where it is continuous.
00:40
And that's not on there.
00:42
But that's okay because they're asking for just regions.
00:45
So all we have to do is ask ourselves, is each of the given region in there? and so from 10 to 15, yes, that's continuous there because it's in...