Question

Is the following relation a function?

{(3, 2), (3, −2), (1, −4), (−1, 2)}

Yes
No

Answer 1

Answer:

No.

Step-by-step explanation:

Well at first glance it might seem so but there are two points particularly that can tell you that these points cannot be within a function.

The points (3,2) and (3,-2) will yield an undefined slope (a straight vertical line). There is no possibility that the other points can be in this line (as their y - values are different) and there is no possibilty that this is a function at all according to the vertical line test (the test is that if you draw a vertical line that there shouldn't be more than one point on it).

Good luck and have a great day! If you have anymore questions, ask away!

Answer 2

The given relation {(3, 2), (3, −2), (1, −4), (−1, 2)} is not a function.

What makes a relation a function?

A function is a relation in which the input values have a unique out value. This means that the output value is only related to that particular input value.

We can determine whether the given relation is a function as shown below:

The relation is given as:

{(3, 2), (3, −2), (1, −4), (−1, 2)}

A function is a relation in which the input values have a unique out value. This means that the output value is only related to that particular input value.

But, we can see that in the ordered pairs (3, 2) and (-1, 2) that the output values aren't unique. This means that the relation is not a function.

Therefore, the given relation {(3, 2), (3, −2), (1, −4), (−1, 2)} is not a function.

Learn more about functions here: https://brainly.com/question/22340031

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