HELP PLEASE!

How do you find horizantal and vertical asymptotes of f(x)

f(x)= (2x^2-1)/(x^2+3)

Question

HELP PLEASE!

How do you find horizantal and vertical asymptotes of f(x)

f(x)= (2x^2-1)/(x^2+3)

e.mccormick · Answer

Algebra or Calculus?

anonymous · Answer

pre calulus.  its just find the asympotes. i graphed it on the calculator but the teacher wants it algebracailly

e.mccormick · Answer

OK, algebraically, how would you find places that the calculation did not exist?  That relates to the vertical asymptotes.

anonymous · Answer

i think you set the numerator to zero to find VA and deneomantor for HA ?

e.mccormick · Answer

No, numerator=0 is intercepts.  Denominator is related to VA, but there are cases where you do not get a VA even if you have a denominator.

e.mccormick · Answer

HA is all about certain rules reating to the highest degree of the numerator and denominator.  Do you remember going over those?

anonymous · Answer

ummm no...

e.mccormick · Answer

OK, lets look at a little logic first. If the numerator is a higher degree than the denominator, then would it be increasing faster, slower, or the same speed as the denominator?

anonymous · Answer

faster?

anonymous · Answer

btw anotehr question is the curve passes (0,0) whats the x-intecept and y instecept?

e.mccormick · Answer

If it is getting bigger faster than it is getting smaller, do you think it can have a horozontal asymptote?

anonymous · Answer

yea?

e.mccormick · Answer

Well, something that gets bigger faster is always increasing.  If it is negative, it is always decreasing.

anonymous · Answer

bro idk what u saying... im hella confused

e.mccormick · Answer

If the power on the top is higher than on the bottom, then something is always changing.
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