Question

i love my dog

Answer 1

asymptote parallel to x axis we can find by equating the coefficient of highest deg. term of
x to zero
similarly for y axis.

Answer 2

and for inclined asymptote put y=mx+c in the equation and then equate the coefficient of highest deg. term of x to zero. find m and c. simultaneously from both the equations

Answer 3

can you give me an example?

Answer 4

Polynomials don't have asymptotes. Rational functions might - that is, functions that are polynomials divided by polynomials. But polynomials themselves never have asymptotes.

Answer 5

take this eqn.
y^2 (a-x)=x^2 (a+x)
asymptote parallel to y axis is a-x=0
i.e x=a
by equating the coefficient of highest degree term of y to zero

Answer 6

perfect!

Answer 7

What you wrote is not a function. There are no polynomial functions (f(x) = anx^n + ... + a1x + a0) that have asymptotes.

Answer 8

the eqution given by me above is one of the quation in curve tracing .
and the curve is called as strophoid