00:03
All right, we have this piecewise function, and we're going to find some function values and then sketch the graph.
00:09
So let's find f of negative 3.
00:11
So negative 3 falls into this piece of the domain, x is less than or equal to 1.
00:16
And so the y value is always going to be negative 1 for that.
00:20
Now let's find f of 0.
00:22
0 also falls into this piece, x is less than or equal to 1.
00:26
So f of 0 is also going to be negative 1.
00:30
Now let's find f of 2.
00:31
2 falls into this category here, x is greater than 1.
00:34
So we're going to substitute 2 into 7 minus 2x, and we get 7 minus 2 times 2, and that will be 3.
00:42
Okay, now it's time to figure out how to sketch this graph.
00:46
And so at least at this point we have three points on the graph, so that's a good start.
00:51
It would also be a good idea to think about what each piece should look like.
00:55
So if you think about the top piece, it should look like the line y equals negative 1.
01:00
So that's just a horizontal line.
01:02
And if you think about the bottom piece, it should look like a line.
01:05
Line with a slope of negative 2 and a y intercept of 7...