00:01
All right, so for problem 727, we're given this function, and we have to determine its end behaviors.
00:07
Or basically, what happens to the function when x approaches positive infinity or negative infinity? and it's really not that hard.
00:16
All we have to do is look at the term with the highest exponent.
00:19
In this case, it's x, not 8, x cubed.
00:24
And we have to see if the exponent is either even, and if the term is positive or negative.
00:31
So there's no negative sign in front of the term, so this term is positive, and the exponent is 3, which is odd.
00:38
Which means it's going to approach negative infinity on the one side and approach a positive infinity on the other side, like in this graph for x cubed.
00:51
As you can see, when x approaches negative infinity or going to the left, the graph also approaches negative infinity or going down...