Question

How do you identify the oblique asymptote for a function
y=x^2-4/x+1

Answer 1

not all functions have oblique asymptote
if the degree of the numerator one larger than the denominaotr degree then you can find slant(oblique)asy.

Answer 2

\[\huge\rm y=\frac{ x^\color{ReD}{2}-4 }{ x^{\color{blue}{1}}+1 }\]
highest degree of the numerator is 2
and the denominator is one so we can find oblique asy
divide x^2-4 by x+1 using long division or synthetic division
btw for this question you can factor x^2 -4

Answer 3

so the degree of the numerator is bigger than that which is the denominator so this one will be a slant how do you find a slant

Answer 4

so factoring x^2 - 4 would be x- 2?

Answer 5

no that wouldn't work sorry
we should divide

Answer 6

oh okay thats fine

Answer 7

synthetic division or long which one is easy for u?

Answer 8

synthetic division does the one become -1 or stay the same

Answer 9

yes right we should solve for x
x+1 = 0
x=-1
x^2 -4 is same as x^2 +0x - 4
we should write highest degree to lowest so that's why i wrote 0 there