Question

can you please check if i did this right?

Answer 1

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

Answer 2

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

Answer 3

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

Answer 4

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

Answer 5

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

Answer 6

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

Answer 7

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

Answer 8

oh your right how do i do that

Answer 9

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

Answer 10

x-1?

Answer 11

yes

Answer 12

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

Answer 13

make is simple

Answer 14

*it

Answer 15

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

Answer 16

tada

Answer 17

omg are you a teacher?

Answer 18

i am a car

Answer 19

lol seriously

Answer 20

have you ever seen a 73 satellite?

Answer 21

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

Answer 22

thanks