00:01
Okay, so i have a couple questions to answer about polynomial functions and their graphs.
00:07
I'm going to start with the first one.
00:13
First, i'm asked, is the degree of this graph even or odd? this graph has an even degree, and that's because both ends are going in the same direction.
00:28
For even degree polynomials, the ends are either both up or both down.
00:34
Leading coefficient in this case has to be positive.
00:39
And that's because the direction those ends are going are both up.
00:44
If my leading coefficient was negative, they'd both be going down.
00:49
Now the end behavior, as x goes to infinity, f of x goes to infinity.
00:56
As x goes to negative infinity, f of x goes to infinity as well.
01:02
That's just another way of saying both ends are going up.
01:07
Okay, in my next problem, i'm not giving the graph...