Question

Describe the vertical asymptote(s) and hole(s) for the graph of

posting pic

Answer 1

Do you know how to find the vertical asymptotes? and holes?

Answer 2

not at all :(

Answer 3

Ok so a vertical asymptote is where the denominator(bottom) equals zero.

You're looking for what x value makes the denominator equal to 0.

Right now the denominator is: \[x^2 - 10x + 21\]

The answer isn't obvious. So you will need to factor this.

Now what two numbers multiply together to make 21 and add together to make 10?

Answer 4

A. asymptote: x = 5 and hole: x = 1?

Answer 5

@KeemoD143 I don't think so

Answer 6

if you let

x^2 - 10 + 21 = 0

and solve (factorising is easy) then the solutions will be the vertical asymptotes

Answer 7

@campbell_st:
x^2 - 10x + 21 = 0
(you forgot an x)

Answer 8

its an interesting problem because if you expand the numerator and then cancel you'll get 1

there will be points of discontinuity where the asymptotes would have been

oops sorry for forgetting x

Answer 9

woe i missed alot lemme see here

Answer 10

asymptote: x = –5 and hole: x = –1

Answer 11

nope. were you able to factor the denominator?

Answer 12

no asymptote: x = –3 and hole: x = 5