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Mathematics 13 Online
kaylak:

@vocaloid help

kaylak:

2 attachments
Vocaloid:

well for 1) there's an x-value where there's a clear jump/gap in the graph, what it is?

Vocaloid:

*what is it?

kaylak:

-1 you mean a hole

kaylak:

that's what we call them

Vocaloid:

good for 2) in order for the function to be continuous, both pieces of the function need to approach the same value at x = n so you would just plug in n into both pieces of the function and set them equal to each other 2n + 2 = 4n, solve for n

kaylak:

1

Vocaloid:

good so 1 = your answer for 3) try factoring the denominator, you'll notice there's a hole/discontinuity

kaylak:

-5 -2

kaylak:

are the holes

Vocaloid:

good, so there are discontinuities which means the function is not defined everywhere so answer B is the best bet

Vocaloid:

for 4) easiest to just sketch it/plug it into graphing software to see if there are any discontinuities

kaylak:

4 must be discontinuous

kaylak:

just not sure why according to answer choices I just know it's impossible because x<-1 and x>1 nothing would work

kaylak:

I mean x<=

Vocaloid:

because of how the function is defined, it's defined at all values, but has different one-sided limits (I don't remember how that's classified but it's either C or D hold on ;_;)

kaylak:

I thought maybe d but you know this better than I do

Vocaloid:

yeah I'm thinking more towards D, it's been a while since i've done this though

kaylak:

this is just a look ahead for cal lesson in precal lol

kaylak:

yay 100%

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