## sara1234 3 years ago can you please check if i did this right?

1. sara1234

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

2. eyust707

not sure what your criteria are for the first one, but the second one is correct.

3. satellite73

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

4. satellite73

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

5. sara1234

ohhh sorry is this good ? x^3+2 ------- x^2+9+3

6. satellite73

i am pretty sure that the word AND in this question means they want one function that satisfies both conditions

7. satellite73

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

8. sara1234

oh your right how do i do that

9. satellite73

well, i bet now you can figure it out you know what the denominator has to have right?

10. sara1234

x-1?

11. satellite73

yes

12. satellite73

and since that has degree 1, you numerator only has to have some degree larger than 1

13. satellite73

make is simple

14. satellite73

*it

15. sara1234

x^3+2 ------ x-1

16. satellite73

17. sara1234

omg are you a teacher?

18. satellite73

i am a car

19. sara1234

lol seriously

20. satellite73

have you ever seen a 73 satellite?

21. sara1234

hahahaa!!!!!! lol your a smart car

22. satellite73

thanks