Question

Is the following relation a function?

x y
-1 -2
2 3
3 1
6 -2

A.
B.Yes
No

Answer 1

Yes, because it is one-to-one.

Answer 2

yes

Answer 3

It is not one-to-one.

Answer 4

Thank you! <3 so is it a ye or a no?

Answer 5

yes*

Answer 6

if there is the same number twice or more in the x column then it is not a function

Answer 7

yes

Answer 8

For a relation to be a function, each value of the domain (the x-coordinate) can appear only once.
Look at the x-coordinates: -1, 2, 3, 6.
Each one only appears once, so it is a function.

Answer 9

Yeah, it's not one-to-one. Meh. I have injective functions wired in my brain.

Answer 10

It is, however, a function.

Answer 11

Dould you guy help me with this question please? The domain of the following relation: R: {(6, -2), (1, 2), (-3, -4), (-3, 2)} is

A.{-3, -3, 1, 6}

B.{-4, -2, 2, 2}

C. {-4, -2, 2}

D. {-3, 1, 6}

Answer 12

For it to be a one-to-one function, the same has to be true of the y-coordinates. Each y-coordinate can only appear once. Here, the -2 y-coordinate appears twice, so it's not a one-to-one function, but it is a function.

Answer 13

The domain is the set containing every x-coordinate.

Answer 14

In a set, an element is only listed once.

Answer 15

What are the x-coordinates of this function?

Answer 16

Are they the negatives?

Answer 17

List all the x-coordinates of the relation R: {(6, -2), (1, 2), (-3, -4), (-3, 2)}

Answer 18

A.{-3, -3, 1, 6}

Answer 19

just help a girl out good grief

Answer 20

Each x-coordinate is in red:

\( R: {(\color{red}{6}, -2), (\color{red}{1}, 2), (\color{red}{-3}, -4), (\color{red}{-3}, 2)}\)

Answer 21

thank you <3

Answer 22

you are welcome

Answer 23

@Polkadotgamer You mean help her out like you did by giving her the wrong answer and not explaining how to figure it out, so she'll fail when she has a test?

Answer 24

It is the wrong answer?

Answer 25

@MyChem
If you are happy with just an answer (an an incorrect one at that), then I'll leave. Bye.

Answer 26

Yes, it's incorrect.
I'm trying to explain this to you so you understand it. If you're interested. I'll continue.

Answer 27

I'd rather you stay :]

Answer 28

Ok, let's continue.

Here is the relation you are dealing with. The x-coordinates are in red.

\(R: {(\color{red}{6}, -2), (\color{red}{1}, 2), (\color{red}{-3}, -4), (\color{red}{-3}, 2)}\)

Answer 29

Here is a list of the x-ccordinates:
6, 1, -3, -3
Ok?

Answer 30

okay

Answer 31

You need the domain.
The domain of a relation is a set that contains all the x-coordinates used in the relation.
A set only lists EACH VALUE ONCE.
The set that is the domain is: {6, 1, -3}
The -3 is not listed twice.

Answer 32

When are they going to implement the untag feature?

Answer 33

Once you have the domain, you can make many ordered pairs by using each value of the domain many times. It won't be a function, but it still is a relation.

Answer 34

For example, if you have the relation P: { (1, 2), (1, 5), (1, 7), (1, 9). (1, 12) }
Obviously, P is not a function because the same value of 1 was used in more than one ordered pair.
What is the domain of P?
It is the set {1}
The 1 is listed only once in the set.

Answer 35

@mathstudent55 what is the correct answer?

Answer 36

Look at your last response above of only "okay"
The answer is in my response just below it.

Answer 37

so it D?

Answer 38

Is the following relation a function?
Yes or No?

Answer 39

What the heck dude! I'm just trying to help out. If you don't like it don't bad mouth me on the computer.

Answer 40

Here it is again:

You need the domain.
The domain of a relation is a set that contains all the x-coordinates used in the relation. A set only lists EACH VALUE ONCE.

\( {\Huge \bf \color{red}{The ~set ~that ~is ~the ~domain ~is:}}\)
\(\Huge {\color{red}{\{6, 1, -3\}}} \)

The -3 is not listed twice.

Answer 41

alrighty thanks for ur time! before you go could you answer the yes or no question I posted above

Answer 42

When you see a graph of a relation, there is a very easy way to tell if it's a function.
It's called the vertical line test.