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In the set {(3,4), (4,4), (8,-1)} what is this not? *

A-a function
B-a relation
C-a set of real numbers
D-a one to one function

1 Answer

6 votes

Given:

The set is


\{(3,4),(4,4),(8,-1)\}

To find:

The correct option for the given set which represents the quality that is not in the given set.

Solution:

We have,


\{(3,4),(4,4),(8,-1)\}

It is the set of ordered pairs. So, it is a relation.

For each x-value there is a unique y-value value. So, it is a function.

All elements are real numbers but they not distinct and they are in ordered pairs. So, the given set is not a set of real numbers.

In one to one functions each image has exactly one preimage and each preimage has exactly one image.

In the given set 4 has two preimages 3 and 4. So, the given set is not a one to one function.

Therefore, the correct options are C and D.

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