00:01
So we're given this equation and we can start by resizing our window so that way we have an appropriate one.
00:08
So we'll go from negative 10 to 10 and we'll do that on both the x and the y -axis.
00:17
So here's our window.
00:18
And then we're wanting to graph l -kt to the n.
00:23
So l equals k -t to the n.
00:31
So we want to know what happens as the length increases.
00:36
We know that k is going to be some constant, so we'll just set it to any random constant.
00:41
And then n is going to be, we know that n is going to be a positive integer.
00:48
So we'll let it be say.
00:56
And what we want to determine is what's happening as l increases.
01:00
Well, l increasing means going up.
01:03
So as l increases, in this case, t is also increasing.
01:07
And this is assuming that we're going after t is equal to zero.
01:12
If this were to be, say, a one, we see the same thing happening as l is increasing, t is increasing.
01:18
If we did three, as l is increasing, t is increasing.
01:21
So that's the main takeaway from that.
01:26
Then for part b, we want to discuss how n and k could be found...