00:01
For this problem, we are asked to sketch the graph of the function, or the surface created by the function f of xy equals 6 minus 2x minus 3y.
00:09
So to begin, we can note that at the point 0, we'll have f of 0 is going to equal 6.
00:17
Then let's see here.
00:18
If we say that y is equal to 0, then we'd have 6 minus 2x.
00:22
We want that to equal 0, then 6 equals 2x.
00:25
So we'll have that the function is going to equal 0 when x equals 3 and y equals 0.
00:32
So we have another sort of root at the point 3 -0.
00:37
And then lastly, if we take x equal to 0, then we'd see that we'd be remaining with 6 minus 3y.
00:43
That equals 0.
00:44
Then we would have that y must equal 2.
00:49
So we'd have another sort of root point there of 0 to 0, where that 3 -0 should actually have...