function machine

espeon · 2006-09-27 07:34:55

function game!

just answer the questions and the first person to answer it right has to make a new question! (there has to be at least 4 examples and only do 1 question at a time)

1.

a b

9 ~~~~~~~~~~~~~~~~~ 27
19 ~~~~~~~~~~~~~~~~~ 120.3
21 ~~~~~~~~~~~~~~~~~ 147
3 ~~~~~~~~~~~~~~~~~ 3

now lets all make bets! who will do it first!

devante
mathsisfun
ganesh
patrick
zach
mathsyperson
insomnia
ricky
justlooking
or someone else i forgot!(note:this is due to my bad memory)

Last edited by espeon (2006-09-28 07:12:31)

Devantè · 2006-09-27 08:09:02

9 ~~~~~~~~(+18)~~~~~~~~~ 27
19 ~~~~~~~~(+101.3)~~~~~~~~~ 120.3
21 ~~~~~~~~(+126)~~~~~~~~~ 147
3 ~~~~~~~~~(+0, or -0, or ÷1, or x1, or lots of other things)~~~~~~~~ 3

I bet: me.

MathsIsFun · 2006-09-27 09:44:29

There is a square, and a division.

Ricky · 2006-09-27 13:04:00

I like Devante's function better. Less to think about

mathsyperson · 2006-09-27 20:45:03

MathsIsFun wrote:

There is a square, and a division.

Using your function would mean that one of your results is 1/30 away from Espeon's.

espeon · 2006-09-28 03:05:53

um i mean thats the same function on all of them to make it easier for you. im doing it in 4's. and mathsisfun is right

Patrick · 2006-09-28 03:31:22

I'm obviously not the first to figure these out, but I just logged on, and no one has written them

Last edited by Patrick (2006-09-28 03:32:04)

Devantè · 2006-09-28 03:35:18

MathsIsFun wrote:

There is a square, and a division.

I think that was it.

That is the same as yours = b = a^2(/3)

First time in a long time I have seen LaTeX in hidden tags.

Last edited by Devanté (2006-09-28 03:36:47)

espeon · 2006-09-28 03:42:56

a is meant to be the start number and b is the second. and i dont understand that fraction thingy. mine isnt really that complicated...

Devantè · 2006-09-28 03:48:02

b = a^2(/3).
a^2(/3) = b

It's the same thing.

espeon · 2006-09-28 04:06:55

ooooo i get it the fraction thing is supposed to be a division part thingy! Yep patrick won

Devantè · 2006-09-28 04:10:37

Yep. a² ÷ 3 = b.

Last edited by Devanté (2006-09-28 04:11:01)

mathsyperson · 2006-09-28 04:51:49

Does that mean that it's Patrick's turn to make a function now?

Patrick · 2006-09-28 04:58:07

I guess we could make it a game I'm kinda busy with school atm though, so if anyone else wants to make the next 'function-puzzle' they're welcome

espeon · 2006-09-28 07:08:27

ok then we can make it a game! ill edit the title. its patricks turn!

espeon · 2006-09-28 07:13:17

nope i cant edit the title but i edited thefirst post lol

Patrick · 2006-09-28 07:56:15

Here we go.. As before, b is a function of a
a - b
2 - -1
4 - 2
5 - 5
10 - 35

Last edited by Patrick (2006-09-28 07:56:44)

Patrick · 2006-09-28 07:58:18

ah, sorry ricky.. Guess you'll just have to answer my question fast then I'm pretty sure you know the function already.. hehe

edit: he deleted his post, that's why this might seem a bit weird

Last edited by Patrick (2006-09-28 07:58:57)

Ricky · 2006-09-28 08:03:12

Yea patrick, you beat me in under a minute, little twerp

(a^2)/2 - 3/2 * a

Mine:

a -> b

1 -> 1
2 -> 4
3 -> 9
4 -> 73
5 -> 25
6 -> 36
. .
. .
. .

Patrick · 2006-09-28 08:10:02

that's correct, and simplified:

and you'll probably recognize it as the formula for finding the number of diagonals in a polygon with a sides.

mathsyperson · 2006-09-28 09:38:56

Are we allowed any function we like, or does it have to be a nice one? Because technically, if you give any function with n examples of how it works, then there's always a polynomial of order (n-1) that will fit it.

In this case, that's 4.75n^5 - 80.75x^4 + 508.25x^3 - 1457.2x^2 + 1881x - 855.

I'm assuming Ricky thought of a nice one. He might have decided to be mean and done one of those multi-things.

{ 73 If x=4
f(x) = {
{ x² Otherwise

Or it could also be some kind of sine wave, or addition of waves.

Ricky · 2006-09-28 13:42:37

You're right mathsyperson. The point being to show that not all functions have to be defined by a single formula. But remember, when you see "..." it means that there is some pattern to follow.

It's your turn, mathsyperson. I'll start preparing some more interesting ones.

mathsyperson · 2006-09-29 01:07:57

I'll have a go at making one then.

a --> b
1 3
2 -4
3 -11
4 -4
5 3

espeon · 2006-09-29 03:16:38

thats interesting.... i have absolutely no idea how to solver that. 2 and 4 come up with the same answer 1 and 5 come up with the same answer yet again and 3 is just singly. its like a pattern but still dont know how to solve it lol

Patrick · 2006-09-29 03:22:31

If you plot this, it might help you realise what kind of function this might be..

Math Is Fun Forum

#1 2006-09-27 07:34:55

function machine

#2 2006-09-27 08:09:02

Re: function machine

#3 2006-09-27 09:44:29

Re: function machine

#4 2006-09-27 13:04:00

Re: function machine

#5 2006-09-27 20:45:03

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#6 2006-09-28 03:05:53

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#7 2006-09-28 03:31:22

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#8 2006-09-28 03:35:18

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#9 2006-09-28 03:42:56

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#10 2006-09-28 03:48:02

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#11 2006-09-28 04:06:55

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#14 2006-09-28 04:58:07

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#17 2006-09-28 07:56:15

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