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A function is shown in the table below. If included in the table which ordered pair zero -4 or 40 would result in a relation that is no longer a function. Explain your

User Arghavan
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Including (-4, 1) would result in a relation that is no longer a function, while including (1, -4) would not affect the function property of the relation.

How to determine which ordered pair would result in a relation that is no longer a function

To determine which ordered pair would result in a relation that is no longer a function, check if any x-values are repeated in the table.

In the given table:

x: -4, -1, 0, 3

f(x): 2, -4, -2, 16

We can see that none of the x-values are repeated. Each x-value corresponds to a unique f(x) value, which means that the relation represented in the table is a function.

Now, if we were to include the ordered pair (-4, 1) or (1, -4) in the table, we need to check if the x-value is repeated.

If we include (-4, 1), the x-value -4 is already present in the table. The x-value -4 corresponds to f(x) = 2. So, if we include (-4, 1), we would have two different y-values (1 and 2) for the same x-value (-4).

Therefore, including (-4, 1) would result in a relation that is no longer a function.

On the other hand, if we include (1, -4), the x-value 1 is not repeated in the table. The x-value 1 corresponds to f(x) = -4.

So, including (1, -4) would not result in any repetition of x-values and the relation would still be a function.

In conclusion, including (-4, 1) would result in a relation that is no longer a function, while including (1, -4) would not affect the function property of the relation.

Complete question

A function is shown in the table below. If included in the 2 points table, which ordered pair, (-4, 1) or (1, -4), would result in a relation that is no longer a function? Explain your answer. *

x: -4, -1, 0, 3

f(x):2, -4, -2, 16

User Tyneequa
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