Question

State the horizontal asymptote of the rational function.
f(x) = (x^2+9x-9)/(x-9)

Answer 1

since the degree of the numerator is greater than the degree of the denominator, there will be no horizontal asymptote but there is a possibility that the graph will have a slant asymptote or a hole

Answer 2

what would the hole look like on a graph because i graph it and it has a slant and curve

Answer 3

it would be 9
right?

Answer 4

like, if the denominator is one of the factors of the numerator, it will have a hole..the graph will look like this