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BloomLocke367
 one year ago
sketch a graph of function f that satisfies these conditions
BloomLocke367
 one year ago
sketch a graph of function f that satisfies these conditions

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BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0\[\lim_{x \rightarrow 2} f(x)=3\] \[\lim_{x \rightarrow 3^} f(x)=f(2)=5\] f is increasing on (inf, 3) \[\lim_{x \rightarrow 3^}f(x)>\lim_{x \rightarrow 3^+}f(x)\] f is constant on (x, +inf)

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0it has to satisfy all of those D:

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Can you check the following? f is constant on (x, +inf)

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0Yes I got that. ^.^

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0it's an open circle on (2,2) right?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1is it "f(x) is constant on (2,+inf)?

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0no, it just says f. I'm pretty sure f and f(x) mean the same thing, right?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1but is "f is constant on (2,+inf)"? (i.e. not (x,+inf) )

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0I have, right now, an open circle on point (2,2) with a horizontal line going to the right c: that's right, right?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1or is it "f is constant on (3,+inf)"?

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0f is constant on (2, +inf)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Well, we have Lim f(x) x>2 = 3, so the horizontal line should be at y=3. dw:1441333851902:dw agree?

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0wait....nvm. I see now

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1From the first condition, \(Lim_{x>2} ~~f(x)=3\)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1from f(2)=5 (in the second line), we have dw:1441334065831:dw

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0is that vertical line supposed to be there?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The rest of line 2 (lim x>3 = 5 ) gives: dw:1441334208871:dw then from the fourth line f is increasing up to x=3

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1sorry, third line (increasing up to x=3) dw:1441334303013:dw

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0I'm confused now. :/

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1fourth line says f(3+) < f(3)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Sorry, I went on since you did not respond. Starting from where did you get confused.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The vertical line is just an indicator, not part of the graph. Functions cannot have vertical lines.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1441334492160:dw

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1are you still following?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1fourth line says f(3+) < f(3) but does not define anywhere between x=3 and x=2, so it is arbitrary.

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0ohhh okay. so (2,5) is just a point, there isn't a line connected to it

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1no, the line just shows it's xcoordinate.

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0oh okay. what would the ycoordinate be for the line with the curve?

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1It's not defined. We only know that it is increasing, with a limit of 5 at x=3

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1441334766038:dw

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0wait... how do you know the limit is 5?

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0oh right *facepalm*

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1The last part is more complicated.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1This is the part between x=3 and +2

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0okay. I'm staying calm so far XD helping someone else helped me xp

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1We don't know much about it. We only know that  lim x>3 f(x) is greater than lim x>3+ f(x), so there is a jump discontinuity.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1and we know Lim x>2 = 3.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1So all we can do is to join the two points with any line we want.

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0a jump. so this one will have to have a closed circle somewhere under the open circle at (3,5)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1441335204853:dw

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1we don't even know what Lim x>3+ is so it could be anything < 5.

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1So that's the best we could do. Any comments?

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0would this work?dw:1441335313929:dw

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0man that is sloppy XD but idc

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1Almost, it does not satisfy Lim x>2 = 3 (i.e. both sides, 2 and 2+)

mathmate
 one year ago
Best ResponseYou've already chosen the best response.1dw:1441335463481:dw

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0I put that the second closed dot at (1,0)

BloomLocke367
 one year ago
Best ResponseYou've already chosen the best response.0so would that work? please..before you go
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