00:01
Hi, consider the function f of x equal to 1 plus 5x minus 3 by x squared, find the vertical asymptote.
00:22
You can rewrite the function f of x as x square plus 5 x minus 3 divided by x square.
00:32
Take the denominator is 0, so x square is 0, we get x equal to 0.
00:44
Thus the vertical asymptote is x equal to 0.
00:54
Find the horizontal asymptote.
01:04
For the horizontal asymptote, in f of x, the numerator degree and high denominator degree is equal.
01:13
So the coefficient of numerator and denominator will be 1 by 1.
01:22
Thus horizontal asymptote value will be y equal to 1.
01:34
For b, we have to check the function is increasing or decreasing.
01:41
The domain for the given function is minus infinity to 0 union, 0 to infinity...