Answer:
Explanation:
To determine which ordered pair can be added to the function (2,6) (4,3) (1,9) to cause the set of ordered pairs to not be a function, we need to understand the definition of a function.
A function is a relation in which each input (x-value) corresponds to exactly one output (y-value). In other words, for each unique x-value, there can only be one corresponding y-value.
Let's analyze the given ordered pairs: (2,6), (4,3), and (1,9).
To check if the set of ordered pairs forms a function, we need to examine if any x-values are repeated. If there are repeated x-values with different corresponding y-values, then the set of ordered pairs does not form a function.
In the given set, there are no repeated x-values. Each x-value (2, 4, and 1) is unique.
Now, let's evaluate each of the answer choices and determine if adding any of these ordered pairs would result in a repeated x-value:
1. (2,3): This x-value (2) is already present in the given set, so adding this ordered pair would result in a repeated x-value. Therefore, this choice would cause the set of ordered pairs to not be a function.
2. (3,2): This x-value (3) is not present in the given set, so adding this ordered pair would not result in a repeated x-value. Therefore, this choice would not cause the set of ordered pairs to not be a function.
3. (9,1): This x-value (9) is not present in the given set, so adding this ordered pair would not result in a repeated x-value. Therefore, this choice would not cause the set of ordered pairs to not be a function.
4. (0,0): This x-value (0) is not present in the given set, so adding this ordered pair would not result in a repeated x-value. Therefore, this choice would not cause the set of ordered pairs to not be a function.
In conclusion, the ordered pair that can be added to the function (2,6) (4,3) (1,9) to cause the set of ordered pairs to not be a function is (2,3) (Option 1).