Question

Give the value of x where f(x)= (x^2-4)/(x^2+x-2) has a JUMP discontinuity?
(Not sure how to figure this one out)

Answer 1

u cant have junp unless its given in the ques

Answer 2

how come?

Answer 3

Yay SAt is here! thanks to you guys I managed to crack 100 on my test!

Answer 4

hello congrats

Answer 5

you want to teach at the university? :-)

Answer 6

factor and cancel get
\[\frac{x-2}{x-1}\]

Answer 7

i think its x = 1, i guess you consider a vertical asymptote where the function goes in opp directions a jump discontinuity

Answer 8

I did that for removable

Answer 9

which would exist at the point where a hole is at - correct?

Answer 10

but, how does factoring help with jump?

Answer 11

or even infinite disc.?

Answer 12

well for every other x the function is defined and continuous

Answer 13

is that because it/they factor out?

Answer 14

wouldnt the vertical asymptote be where you;d find infinite discontinuity?

Answer 15

possibly, not sure about this one
but either way its x=1

Answer 16

i don't consider it a jump discontinuity because there is no jump. but maybe i am wrong

Answer 17

jump discont usually comes from a piecewise function

Answer 18

greatest integer function for example

Answer 19

i agree, but maybe if you consider limits it jumps from pos infinity to neg infinity

Answer 20

hmm we are only thinking that because that is what the question asks yes? i mean otherwise we would day "infinite' discontinuity or "vertical asymptote" or "pole" not jump.

Answer 21

i wonder where this question came from

Answer 22

yes ive never heard it used this way before, but maybe it is

Answer 23

maybe it is by whomever wrote the question!

Answer 24

ahh got it, answer is No solution then

Answer 25

haha, that's what I said.

Answer 26

for jump it is DNE, while for removable it shld be -2 ( I think), while for infinite I'm stumped

Answer 27

then the infinite is x=1

Answer 28

this might help

Answer 29

aha! so 'there is none" is the correct answer. whew! didn't know that was a choice

Answer 30

and now i can rest easy. good night

Answer 31

sorry

Answer 32

sat which one are you ssaying is none?

Answer 33

haha, i dont think the removable exists either
f(-2) = 4/3

Answer 34

prof explained removable to be a hole

Answer 35

yes, there is no hole at -2

Answer 36

but, if you factor it out you shld have a hole at x=-2?

Answer 37

how so?
the (x+2) cancels out leaving a continuous function except for the asymptote

Answer 38

isn;t that the exact explanation of a hole: where the factors will cross out?

Answer 39

btw, thanks for taking the time to help!

Answer 40

np hmm maybe i have forgotten some stuff
try graphing the function (x-2)/(x-1) and you will notice there is no hole

Answer 41

I agree with you, Im going from what the teach is saying :-) in class....

Answer 42

well better go with the teacher :)

Answer 43

haha - thanks man. will do for the remov, but for the jump and infinite?

Answer 44

jump DNE
infinite, x=1

Answer 45

thanks a ton man! triple medals