Question

help, finding a rational function whose domain is the set of all real numbers>>

Answer 1

Do you know what a vertical asymptote is?

Answer 2

yeah

Answer 3

its kind a vertical line

Answer 4

mmm. Not really. A vertical asymptote is a vertical line that a function will never reach. It will approach it, but never reach it. If you graph y=1/x, there is a vertical asymptote at x=0

Answer 5

yeah so then there is no rational function with domain R?

Answer 6

since all rational functions must have a lesst an asymtote?

Answer 7

Nope, thats not true either. A function has a vertical asymptote when its denominator is equal to 0. A function like y=1/(1+x^2) will not have one

Answer 8

ohh right

Answer 9

so the possible rational functions are with a power on the denominator?

Answer 10

hey but the graph of 1/(1+x^2) looks diferrent from all rational functions

Answer 11

But it is still a rational function

Answer 12

oh i see then.

Answer 13

thanks for your gelp my friend.

Answer 14

No problem