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Give an example of a rational function that has no horizontal asymptote and a vertical asymptote at x = 1. Example for horizontal asymptote that has none. x+2 ------- x^2+9+3 Example of a vertical asymptote at x=1 (x-2)(x+3) ------ x-1
not sure what your criteria are for the first one, but the second one is correct.
no horizontal asymptote does not mean asymptote is \(y=0\) it means it doesn't have one so from before that means the degree of the numerator is larger than the degree of the denominator
therefore unfortunately your answer is not correct. you have to make the degree of the top bigger than the degree of the bottom i can give you an example if you like
ohhh sorry is this good ? x^3+2 ------- x^2+9+3
i am pretty sure that the word AND in this question means they want one function that satisfies both conditions
not two different functions, one with no horizontal asymptote, and a different one with a vertical asymptote at \(x=1\) you are correct to put the \(x-1\) in the denominator
oh your right how do i do that
well, i bet now you can figure it out you know what the denominator has to have right?
and since that has degree 1, you numerator only has to have some degree larger than 1
make is simple
x^3+2 ------ x-1
omg are you a teacher?
i am a car
hahahaa!!!!!! lol your a smart car