Question

Show and Answer Problems! :D Medal Rewarded! :D Find the Vertical Asymptote (VA) & Hole for the following problems:
4. 3 over x^2 - 4x + 4
5. x - 1 over x^2 + 4x - 5
6. x over x + 1
7. 6 over (x - 2) (x + 3)
8. x^2 - 25 over x - 5
9. x - 5 over x + 1
10. 4 over (x - 1)^2
11. x + 2 over (x - 3) (x + 2)
16. 2 over x^2 - 5x + 6
17. 4 over x^2 + 2x - 8
18. x + 3 over x^2 + 7x + 12
19. x - 5 over x^2 - 4x - 5
20. x^2 - 8x + 16 over x - 4
21. x^2 - 3x + 2 over x - 1

Answer 1

My Answers:
4. VA: x = 2
5. VA: x = 5 & Hole: x = 1
6. VA: x = -1
7. VA: x = -3 & x = 2
8. Hole: x = 5
9. VA: x = -1 & Hole = x = 5
10. VA: x = 1
11.VA: x = 3 & Hole: x = -2
16. VA: x = 2 & x = 3
17. VA: x = 4 & x = 2
18. VA: x = -4 & Hole: x = 3
19. VA: x = -1 & Hole: x = 5
20. Hole: x = 4
21. Hole: x = 1

Answer 2

You know what would probably be quickest would be to type these into Wolf and look at the graph.

Answer 3

so just check my answers and see if they're 100% right

Answer 4

Why does number 9 have a hole at 5?

Answer 5

Why isn't 17 x = -4 and x = 2?

Answer 6

Hold one just give me a second

Answer 7

In 18 why isn't the hole at -3?

Answer 8

Hold on the question @Mertsj stressing me out here

Answer 9

#9: It's suppose to be VA: x = 5 & Hole: x = 1
#17: I forgot the "-" sign
#18: I forgot the "-" sign

Answer 10

Other than that, I agree.

Answer 11

The answer I had above was correct

Answer 12

ok

Answer 13

@Mertsj , because if you graph it on a calculator you will see a vertical asymptote at
x = -1 and a Hole at x = 5, because at 5 on the table has a zero on it, so it's a Hole

Answer 14

Which one are you talking about?

Answer 15

#9 so sorry

Answer 16

I understand the asymptote at x = -1 but if x = 5, you have 0/6 which is 0 for the point (5,0) is on the graph. In fact it is a zero of the function.

Answer 17

was I right

Answer 18

I think number 9 is a vertical asymptote at x = -1 and no holes.

Answer 19

okay thanks, are my other answers correct

Answer 20

I think so. I could have made an error but except for the things I noted, I agree with your answers.

Answer 21

error to which one

Answer 22

What do you mean?

Answer 23

All I meant was I am not perfect and could have overlooked something.

Answer 24

Want to double check yourself?

Answer 25

No.

Answer 26

you sure

Answer 27

yep. We agree on all of them now, don't we?

Answer 28

even satellite

Answer 29

Satellite agreed with all YOUR answers?

Answer 30

really! :/ 4 - 11 is bonus, so I am trying to get them right

Answer 31

So I must have some wrong because I did not agree with all of them.

Answer 32

Satellite agreed there was a hole at 5 in number 9?

Answer 33

so I was right?

Answer 34

I don't think so.

Answer 35

why you say that

Answer 36

I think I have already explained to you why I don't think there is a hole at 5.

Answer 37

It's a Zero, but not a hole

Answer 38

Yes.