Question

Below, you are given a mapping diagram.
Image of domain bubble and range bubble. Inside the range bubble, the numbers 11, 20, 34, and 41 appear.

Create and justify a relation that represents a function with the given range. Write your answers as ordered pairs.
Create and justify a relation that does not represent a function with the given range. Write your answers as ordered pairs

Answer 1

brb

Answer 2

Sorry for late.

Answer 3

its alright, im here

Answer 4

May I help?

Answer 5

yes, of course!!!

Answer 6

:)

Answer 7

Thanks

Answer 8

What did you get?

Answer 9

i dont know

Answer 10

domain is 5,3,2,3

Answer 11

how do i make a function for this?

Answer 12

hello?

Answer 13

I am on it

Answer 14

do you have any ideas?

Answer 15

f(x)?

Answer 16

that is it?

Answer 17

yes

Answer 18

do you know the type of this function?

Answer 19

no

Answer 20

what function is f(x)?

Answer 21

we have the domain , can you imagine the type of it?

Answer 22

f(x) = ax + b

Answer 23

what numbers are in the domain?

Answer 24

9,12,5, and 11

Answer 25

good

Answer 26

But I don't think it is a linear function

Answer 27

than what is -_-

Answer 28

may be rational of exponent or even quadratic!

Answer 29

f(x) = ax2 + bx + c.

Answer 30

what if you represent the domain on the grid and try to find some x-value match them?

Answer 31

omg how?!?!?!

Answer 32

like that https://www.desmos.com/calculator/iiobbvymt1

Answer 33

okay what next

Answer 34

Choose some logical values of x to make a domain!

Answer 35

x=40 , x=20 , x=18 , x=21

Answer 36

y= sorry

Answer 37

"y= sorry"??

Answer 38

y=40 , y=20 , y=18 , y=21

Answer 39

@Directrix
@zepdrix
@mathmate

Answer 40

@Will.H

Answer 41

x is right
we just search for domain which is related to x-values

Answer 42

Are you sure that the domain is 5,3,2,3?

Answer 43

im not i made that up...

Answer 44

Oh so the domains are blank?

Answer 45

yes, just given the range

Answer 46

Can you provide the idea please?

Answer 47

yes

Answer 48

@Will.H

Answer 49

Yeah thats a good question.
There can only be one domain to each range
That means the domains shouldn't be repeated.
You were right we can have any domains we can make them up and the derive a function out of it. The function is appear to be linear.
I'll help you out
Let's say that we have the following domains
1,2,3,4
That means we have the following ordered pairs(1,11)(2,20)(3,34)(4,41)
This is a reasonable function because there is a different domain for each range and it can ne represented as a function because we may derive a function through the following form
Y -Y1 = m(x-x1)

Now the other case is when the function is not reasonable and that occurs when there are 2 domains congruent.
Like the following
(1,11)(1,20)(3,34)(4,41)
This cannot represent a function because there are 2 congruent domains. The rule status that there has to be one domain only for each range ( all domains must be different from each other)

Answer 50

oh i get lol but what do it mean when to create a relation function... how do we do that

Answer 51

Relation function occurs in the 1st case that I explained
The relationship between the domains and ranges is that domains are x values and ranges are y values the relationship is that the 2 of them are needed in order to derive a function
Because slope formula
Y2-Y1/X2-X1
Needs x and y values together. That's the relationship between them

Answer 52

Further questions?

Answer 53

@ItryMath
A relation could be a list of ordered pairs, as you are instructed to do in the question! :)
`Write your answers as ordered pairs`

Answer 54

Right the x and y values that I stated

Answer 55

(2.11) (4,20) (6,34) (8,41)

Answer 56

(1,11)(2,20)(3,34)(4,41)

Answer 57

Yeah that can make a function because there is only one domain to each range (no repeated domains)

Answer 58

yes i know that

Answer 59

Okay
I have to go
C ya

Answer 60

That means we have the following ordered pairs(1,11)(2,20)(3,34)(4,41)
This is a reasonable function because there is a different domain for each range and it can ne represented as a function because we may derive a function through the following form
Y -Y1 = m(x-x1)

Answer 61

is that part 1?

Answer 62

Correct.

Answer 63

Now the other case is when the function is not reasonable and that occurs when there are 2 domains congruent.
Like the following
(1,11)(1,20)(3,34)(4,41)
This cannot represent a function because there are 2 congruent domains. The rule status that there has to be one domain only for each range ( all domains must be different from each other)

Answer 64

and thats part 2

Answer 65

Yes

Answer 66

okay thanks

Answer 67

You welcome