Question

Calculus

Answer 1

Were you able to determine that any of these ARE true?
So we can start to eliminate some of our options.

Answer 2

I don't think the last 2 are true

Answer 3

have you done the work to prove that?

Answer 4

If we factor the denominator, we can find out where the `vertical` asymptotes are located.

2x^5 - 2x

Factoring a little bit gives us:
2x(x^4-1)

Factoring a little bit more gives us:
2x(x^2-1)(x^2+1)

and a little bit more...
2x(x-1)(x+1)(x^2+1)

Each of these factors, when set equal to zero, tells us where our asymptotes are located.
2x = 0 --> x=0 is an asymptote.

x=0 is the y-axis. So the last option IS true. ok?

Answer 5

ok

Answer 6

so the second to last is not true?

Answer 7

I have to get off the computer in 3 minutes :(

Answer 8

@ganeshie8