00:01
In this question, we want to draw the graph of a function y equals f of x, such that the function decreases and the slope increases as x increases.
00:12
They give us the note, this means that the slope is negative, but it becomes less negative.
00:19
So we have a function, but it's decreasing, but it decreases less rapidly as we move to the right.
00:34
So it's going to look something like this.
00:37
Here would be a function f that is decreasing.
00:42
It is dropping as i move from left to right.
00:47
However, my slope is actually getting larger.
00:51
The idea is perhaps here, i'm making these numbers up a little bit, perhaps here, my slope is negative 4, because i'm going down 4 times as much as i go to the right.
01:07
And then perhaps if i drew my tangent line here, perhaps here, my tangent line has a slope of negative 1, because i'm going down just as much as i go to the right...