How do I find the horizontal and vertical asymptotes of f (x) = 2/x^2-2x-3?

Also would like to check if my x and y intercepts are correct.

Question

Mathematics

Tyrell Yates

22 January, 17:34

How do I find the horizontal and vertical asymptotes of f (x) = 2/x^2-2x-3?

Also would like to check if my x and y intercepts are correct.

+4

Answers (1)

Know the Answer?

Janelle Solis · Answer 1

I love doing this

for a function p (x) / q (x)

if degree of p (x)
if degrees are equal, divide linear coefients

horzontal assemtotes

first simplify

then set denom to zero and solve for x values

so

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

less so HA=y=0

doesn't cross HA

VA, set denom to zer

x^2-2x-3=0

(x-2) (x-1) = 0

HA, at x=1 and x=2

xint, set y=0 and solve

not applicatble, no xint

yint, set x=0

ying=-2/3

HA is y=2, doesn't cross it

VA's at x=1 and x=2

no xint

yint at (0,-2/3)

How do I find the horizontal and vertical asymptotes of f (x) = 2/x^2-2x-3?Also would like to check if my x and y intercepts are correct.

How do I find the horizontal and vertical asymptotes of f (x) = 2/x^2-2x-3?

Also would like to check if my x and y intercepts are correct.