Question

2. The following rationalfunction describes concentration in blood of a certain
medicine taken once depending on time,find
a.the horizontal or oblique asymptote(s), if any,
b.the vertical asymptote(s),if any,
c. describe their possible meanings.
f(x) = (4/x+2)

Answer 1

ok
horizontal is when y cannot be something
vertical is when x cannot be something
oblique was when you got 2 different values when you approached the limit to infinity from 2 different sides or something like that.. don't really remember, gotta look it up

Answer 2

Sooo well vertical asymptote is obviously when x = -2: You can't have a 0 on the bottom

Answer 3

aha awesome tutorial
http://www.coolmath.com/algebra/23-graphing-rational-functions/04-horizontal-slant-oblique-asymptotes-01.htm

Answer 4

ok so itll be the form y=a/b for the horizontal?

Answer 5

Hmm honestly im not sure i can explain this. It's been a while... all I can say is that y=0 is a horizontal asymptote

Answer 6

I mean just by looking at it you can see that y will never be 0. To make it 0, you'd have to multiply it by 0.

Answer 7

well, i think thats right because its y = o when the numerator cant go into the denominator

Answer 8

ohh, idk i don't remember any of this, just reading about it.

Answer 9

In general, the procedure for asymptotes is the following:

set the denominator equal to zero and solve
the zeroes (if any) are the vertical asymptotes
everything else is the domain
compare the degrees of the numerator and the denominator
if the degrees are the same, then you have a horizontal asymptote at y = (numerator's leading coefficient) / (denominator's leading coefficient)
if the denominator's degree is greater (by any margin), then you have a horizontal asymptote at y = 0 (the x-axis)
if the numerator's degree is greater (by a margin of 1), then you have a slant asymptote which you will find by doing long division

Answer 10

Yup, the denominator's degree is greater so our horizontal asymptote is y = 0.

Ok now apparently we don't have a slant asymptote because the power of the numerator is not greater than the power of the denominator by 1.

Answer 11

i hate math, Bah. :( Im terrible at it I don't even understand the whole "zeros" thing. Im a science person

Answer 12

Math is the queen of all the sciences. k hang on ill try to explain better.

Answer 13

ok

Answer 14

First of all for solving this question do you know the conception of : Rational Function