00:01
Here we're given the graph of a function and we want to know where it's concave up, concave down, and where it has inflection points.
00:06
So let's first talk about what is concavity.
00:09
Concavity tells you the shape.
00:10
Like if it looks like this, that means it's concave up.
00:13
I like to think of y equals x squared.
00:15
If it looks like this, that means it's concave down.
00:18
I like to think of negative x squared.
00:20
So let's just kind of trace this graph and see what it looks like.
00:23
So it starts off looking like an upward graph.
00:26
It comes down here and at some point, about right there, it changes.
00:29
And suddenly now it looks more like it's concave down.
00:31
And then it hits this point here, but it's still concave down...