00:01
We are given the following function, f of x is equal to negative 3x squared times x minus 1, and we are asked to do a number of things.
00:06
First of all, we are asked in part a to write the second function in the form y is equal to cx of k of the same n behavior as f of x.
00:16
So to do this, we need to figure out the end behavior of f of x.
00:19
And how do we do this? well, if you recall, we need to define our leading term.
00:23
And so in this case, our leading term is negative x squared times x, which is just equal to negative, is equal to negative.
00:31
3x cubed and based off of our leading term we know a couple of things.
00:35
So first of all we know that this is an odd function and we also know that it's going to be negative and so based off this information we know that f of x approaches negative infinity as x approaches infinity and we also know that f of x approaches to infinity as x approaches negative infinity.
00:53
So next thing we need to do is we need to create a function in the form y is equal to c x x to the k with the same and behavior.
01:01
So we have y is equal to and we notice that it's a negative odd function so that has come off the negative constant so let's say negative 2 x to go and then we needed an odd function...