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Which of the tables represents a function?


Table A
Input Output
4 3
3 2
3 1
Table B
Input Output
1 3
3 5
5 7
Table C
Input Output
0 0
1 4
1 5
Table D
Input Output
4 1
4 2
4 3








Table A
Table B
Table C
Table D

Respuesta :

SDehart
Table B. The same input can't go to different outputs

Answer:

In functions, there can be more than one of the same output, but there cant be more than one of the same input.

Step-by-step explanation:

Let's look at table A.

Input Output

4 3

3 2

3 1

We have two 3's for our input.

Let's take a different approach to this if you don't understand.

Let's imagine we have a vending machine.

If you press the number 2 you get Doritos

If you press the number 4 you get Sprite

Though if you press the number 3 you could either get Cashews or Cheetos. If you paid for the Cheetos and you get Cashews, that wouldn't be good; Its like a guessing game.

So, therefore Table A is NOT correct, as two of our input's are the same number.

Now let's look at Table B

Input Output

1 3

3 5

5 7

All of our input's are different, which is good. Let's imagine the vending machine again.

Pressing number 1 gives us Doritos

Pressing number 3 gives us Barbecue Chips

Pressing number 5 gives us Kettle Chips.

We get what we pay for, which means, in this equation, if you input is number 1, we will have number 3 as our output, ect.

This table IS correct.

I think you can apply this procedure to the other two tables to determine which one is right :)

Hope this helps, reach out if you need any more help!

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