Question

Find the vertical asymptotes, if any, of the graph of the rational function.

Answer 1

Vertical Asymptotes are what make the denominator equal zero.

Answer 2

\[f(x)=\frac{ x-4 }{ x(x-4) }\]

Answer 3

Can you help me with this.. show me how to work it out

Answer 4

which values of x makes this function undefined? [in this case it's when the denominator = 0]

Answer 5

0 and 4??

Answer 6

I'm pretty sure that's what it is :)

Answer 7

these are my possibilites
A. x = 4 and x = 4

B. x = 4

C. x = 0 and x = 4

D. no vertical asymptote

Answer 8

you are right. it's C

Answer 9

thank you

Answer 10

Good job

Answer 11

actually

Answer 12

@jim_thompson5910 Says hello Vertical Asymptotes.

Answer 13

am i wrong?

Answer 14

this answer is only 0 i think @ErinWeeks @marissalovescats

since this function = 1/x

Answer 15

there is no only zero thats why i chose C. because i think 4 would work also

Answer 16

unless the numerator is written wrong.

4 does not work

Answer 17

4 also works

Answer 18

0/0=undefined doesn't it?

Answer 19

if you graph it, x=4 says error and x=0 also says error, so there are vertical asymptotes at these to x values

Answer 20

so i was correct?

Answer 21

its obviously an error, but I don't believe it's a physical vertical asymptote on a graph

Answer 22

techincally you are i guess; especially since it's the only option.

it mathematically an asymptote but I don't think it is graphically

Answer 23

true