Question

Find the asymptotes: http://prntscr.com/47mxee

Answer 1

@SolomonZelman

Answer 2

I lost connection and now I'm back.

Answer 3

Happens to me all of the time.

Answer 4

:) Okay, for \(\LARGE\color{blue}{ \frac{2x^2+1}{x^2-4} }\), it wouldn't be hard to say that `x → ∞, y → 0` .

Answer 5

Quick question: Coterminal means one rotation around the unit circle?

Answer 6

Ok.

Answer 7

\(\normalsize\color{blue}{ \rm{Coterminal~~~angles} }\) are angles that are greater than 360, and are found by subtracting 360 from them, or subtraction `2×360`, or `3×360` or `4×360` and on... this would be used to an angle (for example) 12150º

Answer 8

or at least 361º in terms of an angle.

Answer 9

So 360 is coterminal with 0?

Answer 10

Yes.

Answer 11

Thanks, Now back to the question at hand.

Answer 12

I wouldn't use " `0º` " in my homework though....

Answer 13

It was another question, it said "which angle is coterminal with 202 degrees?"

Answer 14

I said 562

Answer 15

And I put in -158

Answer 16

I would leave 202 as it is.

For your initial question, you can tell that whether the number you plug in for x is negative or positive wouldn't make a difference, since all `X`s we have are `x².` and all that matters is the magnitude of the number, in other words, how big is the absolute value of the number that you plug in for x.

Hence you can see that `x → ±∞ , y → ∞`
(And that x → 0, y → -1/4` )

Answer 17

btw, (if I am remembering it correctly) coterminal angles should be between 0 and 2π.

Answer 18

I believe they can be any amount of revolutions around the Unitcircle, as long as they are right on top of each other...

Answer 19

Yes, there can be any amount of revolutions, but i mean just in terms of how big the angle actually is.

Answer 20

Let me take a screen shot for you... http://prntscr.com/47n4js

Answer 21

Yes, your answer is good. You went 2 circles anti-clockwise.

Answer 22

Yes. Now then. The initial question...

Answer 23

How would we find the asymptotes?

Answer 24

Hint: the degree is 2 on top and bottom.

Answer 25

2, -2 for x and ? for y?

Answer 26

I think I said horizontal asymptote, what do you mean by your last comment ?

Answer 27

Horiz asym. is only y=...

Answer 28

oh, so 2?

Answer 29

think so:) (!)

Answer 30

There are 3 different answers... y=2 is in all 3...

Answer 31

I would go with b, since you are dealing with an even degree.

Answer 32

thanks

Answer 33

I have a couple more questions... Want me to post them separate?

Answer 34

yw