00:01
It's a rational function which is the following condition.
00:03
So that's a horizontal asymptote at y -cuit through the vertical asymptote is at 3.
00:08
Y -dicepte is at 0 .8 over 3 and x intercept is at 4 -0.
00:14
So the rational function, fx will be, if there is a vertical asymptote of x equal to 3, it means that x -minus 3 should be in the denominator because vertical asymptote means that when the denominator is 0, that gives a vertical asymptote.
00:29
Then if this is an x intercept so x equal to 4 is a root which means that x minus 4 should appear in the numerator and now it is given that there's an horizontal there is a y intercept of 8 over 3 so let's mark it as k over here because uh this is a leading coefficient and we'll talk about this y intercept later and then we have a horizontal asymptote so remember that a rational function will have a horizontal asymptote only when the degree of the numericum as well as the denominator is equal.
01:04
At the moment, both degrees are two, both degrees are two.
01:09
So that would mean that, sorry, both degrees are one.
01:12
So that would mean that it will have a horizontal asymptote...