00:01
Okay, this question gives us a function, y, and it wants us to find left and right end behavior models for this function.
00:13
So let's just split this up.
00:15
We want a right portion and a left portion.
00:22
So for the right portion, end behavior is the limit as x approaches infinity of our function, which is the limit as x approaches infinity of x plus l .n.
00:41
Of absolute value of x.
00:46
So now to find our end behavior model, we just need to see which of these terms dominates in the long run.
00:57
So this may be a little tricky off the top of your head, if you haven't heard it before, but polynomials always grow faster than logarithms.
01:09
Just a little qualitative graph here.
01:19
Here, here will be a graph of y equals x, and then an example of ln of x would be something like this.
01:35
So it grows way slower than our function...