Question

Sketch the graph of

Answer 1

\(y^{2}=\frac{x}{1+x}\)

Answer 2

@Angle

Answer 3

that y^2 looks very disturbing to me... xD

Answer 4

your best bet is to try to plug in numbers and plot points

Answer 5

should i sqrt both sides first or plug in numbers n plot points?

Answer 6

probably sqrt both sides and keep in mind the plus-minus

Answer 7

okay

Answer 8

notice how at x = -1
the denominator of the fraction = 0
dividing by 0 gives you 'undefined'
and that is basically a vertical line

therefore there is a vertical line at x = -1

Answer 9

what about the horizontal line asymptote?

Answer 10

http://www.coolmath.com/precalculus-review-calculus-intro/precalculus-algebra/18-rational-functions-finding-horizontal-slant-asymptotes-01
i got this link from @kittybasil

Answer 11

can we use rule no.2 based on the link?

Answer 12

yes :)

Answer 13

okay,i think i know how to do...
Thank you! @Angle ^

Answer 14

you should get the horizontal asympotes to be 1 AND -1

Answer 15

okay,thankss... (: