00:01
All right, so we're given this equation here.
00:04
First part is looking for horizontal and vertical asymptopes.
00:08
So with this quadratic equation, we do not have any vertical or horizontal asymptotes.
00:23
So now we're going to look for the increasing and decreasing.
00:28
So for us to do that, we need to find the first derivative.
00:34
So taking the derivative of our function, we should end up with 5 minus 8x.
00:40
Set this equal to zero to find one of our critical points.
00:45
We should get a critical point of x equaling to 5 over 8.
00:52
What we want to do is plot that on a number line and choose values to the left and right.
01:03
So let's go with zero to the left side and one to the right now we're going to plug these values into our derivative function to see if it's positive or negative so when i plug in zero i get 5 minus 0 so that's a positive value.
01:17
So therefore i'm increasing on this end...