00:01
Keep in mind as you're learning this that there are an infinite number of correct answers.
00:09
But what's super important is a few things and what your teacher will be checking is.
00:16
So yeah, this graph has a y intercept at 6 and x intercept at 3.
00:21
You know, not everything.
00:25
So what's important here? and this is the graph of the second derivative.
00:28
So what's important is if you think about, let's do the first derivative in red, is that if the second derivative is positive, so that's what's happening right here, greater than zero, then the first derivative needs to be increasing.
00:49
Because if the first derivative is increasing, then the second derivative needs to be positive.
00:58
And then as we get over here where the second derivative is negative, it needs to be decreasing.
01:06
And it looks like a quadratic and upside down quadratic.
01:08
You can even see that the end behavior is the same.
01:11
Oh, i shouldn't say it that way.
01:14
Maybe what i should say is that you have a negative leading coefficient.
01:18
But what matters is there's a max at x equals 3...