8.8k views
0 votes
Please I really really need help with this question 50 points

Which relation is a function?

Responses

{(1, 2), (2, 3), (3, 4), (4, 5)}


{(1, 2), (2, 1), (1, 3), (3, 1)}


{(0, 2), (0, 4), (0, 6), (0, 8)}


{(1, 2), (3, 4), (5, 6), (1, 8)}

User Dlchambers
by
8.3k points

1 Answer

6 votes

Answer:

{(1, 2), (2, 3), (3, 4), (4, 5)}

Explanation:

Given:

Which relation is a function?

{(1, 2), (2, 3), (3, 4), (4, 5)}

{(1, 2), (2, 1), (1, 3), (3, 1)}

{(0, 2), (0, 4), (0, 6), (0, 8)}

{(1, 2), (3, 4), (5, 6), (1, 8)}

Solve:

To know which relation is a function, we must know how it a function.

There are two ways to figure out.

One way is by looking at a graph - Vertical Line Test : Draw a vertical line and if the line hits the graph one time, the graph is a function.

Another way is by looking at the function : In a function there can be only one x- value(Input) for every y- value(Output). Meaning that there can be duplicate y-value but can't have any in x - value. If there is duplicate x-value meaning it not a function.

Thus, now let's look at each answer choice.

-------------------------------------------------------------------------------------------------------------

Starting with : {(1, 2), (2, 3), (3, 4), (4, 5)}

Input (x) | Output (y)

1 2

2 3

3 4

4 5

There is only one x- value. Therefore, it a function.

-------------------------------------------------------------------------------------------------------------

Next : {(1, 2), (2, 1), (1, 3), (3, 1)}

Input (x) | Output (y)

1 2

2 1

1 3

3 1

There are two 1's in x-value(Input). Therefore, it isn't a function

-------------------------------------------------------------------------------------------------------------

Then: {(0, 2), (0, 4), (0, 6), (0, 8)}

Input (x) | Output (y)

0 2

0 4

0 6

0 8

All of the x-value(Input) are the same. Therefore, it isn't a function

-------------------------------------------------------------------------------------------------------------

Lastly: {(1, 2), (3, 4), (5, 6), (1, 8)}

Input (x) | Output (y)

1 2

3 4

5 6

1 8

There are two 1's in x-value(Input). Therefore, it isn't a function

-------------------------------------------------------------------------------------------------------------

RevyBreeze

User Fozziethebeat
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories