00:01
Hello students, we are given analyze and sketch the graph of the function.
00:05
We need to level and intercept relative extremal point of inflection asymptotes, right? so we are given y equals to 2x square minus 5x plus 5 divided by x minus 2, right? so how can i find it? we just need our graph.
00:21
So in the first case, we need to find our graph.
00:24
So our graph would be something like this.
00:27
If i draw the graph of this, so it would look like this.
00:30
So basically these are y and these are x -axis.
00:35
So this is basically y and this is x -axis.
00:38
This is minus x and this is minus y, right.
00:43
So we have started.
00:44
This is 0, this is 5 and this is 10.
00:47
And this is minus 5, this is minus 10 and this is 5 and this is 10.
00:52
Again, if i write here, this is minus 5, this is minus 10, right? so at 2 we need our asymptote.
01:01
So, asymptote would be something like this which is passing from 2's element and this is basically 2.
01:09
And if i write here, so here what happens is, so we know at x equals to 2 we got our asymptote so we are getting our asymptote at x is equal to 2.
01:24
We would decide is it vertical or horizontal asymptote later but now we need to make our graph so our graph would be something like this.
01:32
And one asymptote, one asymptote would definitely pass from here if i meet them and if i extend them.
01:41
So this would come something like this and this is something like this, right? so definitely this will come as if i draw this, this will come as something like this.
01:52
And this will come as something like this.
01:55
If i draw this, so this will come as something like this.
01:59
Right.
02:00
Now we are getting our second in second...