00:03
So in this problem, we're given this graph of f of x equals x squared, and we're asked to find the number delta, so that, or such that if x minus 1, let me do this, find delta, so that x minus 1 less than delta, then x squared minus 1 is less than a half.
00:45
Okay, so we have this kind of graph going on from this relationship, which means we're looking for this delta and this delta, and whichever is the minimum or the smallest of these two.
01:05
Well, we can see that first of all, that from y equals a half, then as f of x was x squared, let me just cut down some confusion.
01:42
We'll make this f of x, right, so that we're at this point here.
01:51
F of x was x squared.
01:53
Okay.
01:54
So that means that x is approximately 0 .7.
02:02
Okay...