- #1

chwala

Gold Member

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- Homework Statement
- see attached

- Relevant Equations
- rational functions

Consider,

I am self-studying;

My interest is on the horizontal asymptote, now considering the degree of polynomial and leading coefficients, i have

##y=\dfrac{2}{1} =2## Therefore ##y=2## is the horizontal asymptote.

The part that i do not seem to get is (i already checked this on desmos) why an asymptote can be regarded as such if it is crossing the curve. In my small understanding, i thought asymptote ought not to intersect any curve or line...

For vertical asymptote, that is straightforward, solving the denominator, shall give me ##x=-1## and ##x=-2##.

Thanks

I am self-studying;

My interest is on the horizontal asymptote, now considering the degree of polynomial and leading coefficients, i have

##y=\dfrac{2}{1} =2## Therefore ##y=2## is the horizontal asymptote.

The part that i do not seem to get is (i already checked this on desmos) why an asymptote can be regarded as such if it is crossing the curve. In my small understanding, i thought asymptote ought not to intersect any curve or line...

For vertical asymptote, that is straightforward, solving the denominator, shall give me ##x=-1## and ##x=-2##.

Thanks