Question

describe the vertical asymptotes and holes for the graph of y=(x-4)/(x^2+3x+2)

Answer 1

@Luigi0210

Answer 2

Do you know how to find vertical asymptotes and holes?

Answer 3

Not realy

Answer 4

@Luigi0210

Answer 5

Well okay, can you factor the denominator?

Answer 6

(x-4)/(x+2)(x+1)

Answer 7

And just by that, we see it has no holes. So now for asymptotes, set each factor in the denominator equal to 0 and solve

Answer 8

-4/2=-2

Answer 9

That's one, now find the other

Answer 10

But what do I plug in because I already pluged 0 in

Answer 11

No, I mean solve them like this:
\[\LARGE x+1=0\]
and
\[\LARGE x+2=0\]

Answer 12

confused...

Answer 13

When looking for asymptotes, you have to set it equal to zero and solve:
\[\LARGE 0=x^2+3x+2\]

Answer 14

So -1 @Luigi0210

Answer 15

Yea, and -2

Answer 16

Thanks

Answer 17

Your graph will look something like this, if you're graphing it.