00:01
Consider this graph of f of x below.
00:03
And here we want to find.
00:05
First one is the relationship between the value of f at 12 and the value of f at 15.
00:15
So to do that, let's look at x equals 12 and see the value of f will be somewhere here.
00:25
And at x equals 15, the value of f will be over here.
00:31
So if you notice this value of f at 12 is over here and f of 15 is somewhere here, which you can say that f of 12 will always be smaller than f of 15.
00:49
And now for part b, you want to find the relationship between f of 12 minus f of 9 and f of 9 minus f of 6.
01:04
So f of 9 will be here, f of 12 is this point right here, and f of 6 is this point right here.
01:16
Now f of 12 minus f of 9 is the difference between the y coordinates of this point right here and this point.
01:27
So basically it's just taking this distance here.
01:35
That's our f of 12 minus f of 9...