anonymous
  • anonymous
can you please check if i did this right?
Mathematics
schrodinger
  • schrodinger
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anonymous
  • anonymous
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
eyust707
  • eyust707
not sure what your criteria are for the first one, but the second one is correct.
anonymous
  • anonymous
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

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anonymous
  • anonymous
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
anonymous
  • anonymous
ohhh sorry is this good ? x^3+2 ------- x^2+9+3
anonymous
  • anonymous
i am pretty sure that the word AND in this question means they want one function that satisfies both conditions
anonymous
  • anonymous
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
anonymous
  • anonymous
oh your right how do i do that
anonymous
  • anonymous
well, i bet now you can figure it out you know what the denominator has to have right?
anonymous
  • anonymous
x-1?
anonymous
  • anonymous
yes
anonymous
  • anonymous
and since that has degree 1, you numerator only has to have some degree larger than 1
anonymous
  • anonymous
make is simple
anonymous
  • anonymous
*it
anonymous
  • anonymous
x^3+2 ------ x-1
anonymous
  • anonymous
tada
anonymous
  • anonymous
omg are you a teacher?
anonymous
  • anonymous
i am a car
anonymous
  • anonymous
lol seriously
anonymous
  • anonymous
have you ever seen a 73 satellite?
anonymous
  • anonymous
hahahaa!!!!!! lol your a smart car
anonymous
  • anonymous
thanks

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