Help with a simple calc problem...(not reall even calc)

[chiwawa626]

This problem is from ch2 Limits in my calc book:

7.
(a) Find the vertical asymptotes of the graph of
f(x)= (3-x)/(x^2 -16)

(b) Describe the behavior of f(x) to the left and right of
each vertical asymptote.


How would i do this. I know that the asymptotes of f(x) are x=-4 and x=+4. But how would i go on describing the behaviour of f(x), would i say as x-> infinity.... or what?

 

[bmd]

well as X --> -4 from the left, Y --> inf
as X --> -4 from the right, Y --> neg inf

as X--> 4 from the left, Y --> inf
as X--> 4 from the right, Y --> neg inf

 

[chiwawa626]

thanks that makes sense one more question:

for f(x) = (2x+5)/abs(3x-4) what would be the horiz asymptotes?

 

[Turin39789]

4/3

 

[bmd]

horiz. asymptotes would be y=-2/3 as x--> neg inf, y=2/3 as x--> inf.

 

[bmd]

Originally posted by: Turin39789
4/3

It has a vert. asymptote at x=4/3, but he wanted horiz. asymptotes .