00:01
For this problem, we are asked to match the functions a through f with their graphs shown below.
00:06
So starting with function a, f of x, y equals absolute value of x plus absolute value of y.
00:12
Well, we know what the absolute value function should look like.
00:16
It has a hard corner.
00:18
And if we look down below, yeah, there's only one candidate here.
00:21
It's got to match with capital d down there.
00:24
So that's for a.
00:25
Now, for b, we have f of x, y equals kose of x, x, y.
00:28
Now, we would expect, if we say just look along the y equals zero axis, we would expect this to look purely like a cosine function.
00:38
So if we look down below, say at f here, we can see that in the x x axis, it looks just like a cosine function if we were to try to visualize turning that on its side.
00:50
So f must match with b.
00:55
For part c here, we have f of xy equals negative 1 over 1 plus 9x squared plus y squared.
01:01
Now that's a little bit of a funky problem or a funky function.
01:05
But what we can see is that we would expect that when x and y equals 0, we would have a value of negative 1.
01:11
And then as x and y increase, we would expect to have the value of the function flatten out.
01:17
You know, we should be approaching 0.
01:19
And the, let's see here, it looks like, we would have...