00:01
In this problem, we want to sketch the graph of a function, f, which has the following four properties.
00:08
So we're given the values of f and f prime at x equal to 0, 1, and 2.
00:13
So let's start by drawing an x -axis with these tip points.
00:25
So this is the origin, x equal to 1, and x equal to 2.
00:31
So we know that our curve passes through the origin.
00:38
We have that f of 0 is equal to 0, and the derivative at this point is equal to plus 3, meaning at x equal to 0, we have a slope of 3.
00:50
So a slope of 3 is quite steep, and will look something like this, a fairly steep curve...
