Question

A function is created to represent the costs of living per person in the family. What restrictions would be made to the domain?
The domain would only include integers. The domain would only include positive integers. The domain would only include positive numbers. The domain would include all real numbers.

Answer 1

Im leaning towards positive integers. it has the least special cases compared to the other options

Answer 2

actually no

Answer 3

positive numbers is better

Answer 4

and think living costs are not only about integers
so I'm leaning to positive numbers

Answer 5

good catch @blurbendy

Answer 6

=)

Answer 7

wait

Answer 8

isn't it
people=x
cost=y

so x can't be a non-integer ?

Answer 9

x can any positive number

Answer 10

be*

Answer 11

not only integers

Answer 12

but non negative of course sense this is cost

Answer 13

so 1/2 of a person ?

Answer 14

eh hold on i was thinking about the cost ( range )
yep only integers for positive integers

Answer 15

good:)

Answer 16

I would say natural numbers (because we aren't considering 0 people)

Answer 17

seems @blurbendy initial attempt was correct :)
sorry guys lol

Answer 18

yes, positive integers, it is

Answer 19

well we can think of nobody in the family though

Answer 20

hurray!

Answer 21

lol

Answer 22

give solomon the medal, gaby :p

Answer 23

don't need

Answer 24

hehe funny problem

Answer 25

my prof looks suspicious b/c of meds

Answer 26

lol

Answer 27

anyways, feels good though, doesn't it?
the main thing though, is that we got the correct answer and understanding...

Answer 28

yes indeed :)

Answer 29

absolutely

Answer 30

I think that range though, is not all reals, rather it is a rational number.

Answer 31

yeah but we didn't have an option for that
so positive numbers ( i agree with you the case here are rational numbers)

Answer 32

yeah, I dont think an irrational number would be possible XD

Answer 33

yes, or sqrt(2) $ jk

Answer 34

hehe sqrt(2) lol

Answer 35

or, \(\large\color{slate}{\rm e\pi$}\)

Answer 36

anyways, good question though.
And surely, this function is not continuous, it is discrete.

Answer 37

actually those numbers don't exist that way in really
what we use in reality just rational number
doing approximations for e , pi and other irrational numbers

Answer 38

reality*

Answer 39

Well, I wouldn't tell someone to measure \(\large\color{slate}{\rm 54\pi~cm}\) for me, no...

Answer 40

we know the purpose of (particular) Euler numbers. (e represents exponential growth, and pi is a ratio between a circumference and diameter of a circle).

Answer 41

yes of course

Answer 42

:D k got a tag, gtg.

Answer 43

ok take care then :)
I'm influenced by Norman wildberger hehe
the mathematician who did bunch of stuff in youtube

Answer 44

Norman.. reminds me of something very ancient :)

Answer 45

that's his name lol
check his channel on youtube

Answer 46

:)

Answer 47

(just recently, patriots won the super-ball)

Answer 48

(I finished listening to the radio abt 2 minutes ago