Question

sketch graph of rational function, showing asymtotes for following function: y= x^2/ 1+x
vertical asymtote is -1
can anyone show me how to find the slant asymtote?

Answer 1

divide

Answer 2

\(\large \dfrac{x^2}{x+1} = \color{red}{x-1} + \dfrac{1}{x+1}\)

Answer 3

slant asymptote is :
\( y = \color{red}{x-1} \)

Answer 4

how do you get x-1

Answer 5

knw long division ?

Answer 6

don't mind showing me

Answer 7

Nvm, I know...! Thanks Ganes

Answer 8

np :) i can walk u thru the long division if u want...

Answer 9

u may graph ur rational function here to get a feel of how it looks, and it may help u sketch manually :
https://www.desmos.com/calculator

Answer 10

Thnks