Question

identify the oblique asymptote of f(x) = quantity x squared minus 4 x plus 8 over quantity x plus 2.

y = 0
y = x - 2
y = x - 6
No oblique asymptote

Answer 1

\[f(x) = \frac{ x^2 - 4x + 8 }{ x + 2 }\]

Answer 2

@paki @skullpatrol @nincompoop

Answer 3

what is an asymptote?

Answer 4

idk i missed like a wee of school because i was sick and this is make up work and next week are exams

Answer 5

http://www.purplemath.com/modules/asymtote.htm

Answer 6

so i basically factor?

Answer 7

You have an improper fraction because the degree of the numerator is 2 and the degree of the denominator is 1. When you divide a degree 2 by a degree 1 you end up with a degree 1 polynomial (at most).

Doing synthetic division of this function you get


See - http://www.purplemath.com/modules/synthdiv.htm (for synthetic division process)

It's always good to plot the function to visualize the asymptote:

http://www.wolframalpha.com/input/?i=plot+%28x%5E2-4x%2B8%29%2F%28x%2B2%29+with+asymptote

Does all this make sense?

Answer 8

hey

Answer 9

thanx @ybarrap

Answer 10

Hopefully you understood and the next one will be a easy!

Answer 11

yeah i did thank you !