Question

Does this table represent a function? Why or why not?
2
1
2
4
3
4
4
2
5
5
-----;
Answer: / Answer
1----:
:: Yes, because there are two x-values that are the same.
•No, because two of the y-values are the same.
= No, because one x-value corresponds to two different y-values.
* Yes, because every x-value corresponds to exactly one y-value.

Answer 1

To determine if the table represents a function, we need to look at the x-values and see if any x-value corresponds to more than one y-value.

From the table:
- For the input (x-value) of 2, there are two different outputs (y-values) - 1 and 4.
- For the input of 3, there is an output of 4.
- For the input of 4, there is an output of 2.
- For the input of 5, there is an output of 5.

Since the x-value of 2 corresponds to two different y-values (1 and 4), this violates the definition of a function. A function is defined as a relation where each input (x-value) has exactly one output (y-value).

Therefore, the correct reason would be:

**No, because one x-value corresponds to two different y-values.**

Answer 2

X. Y
2. 1
2. 4
3. 4
4. 2
5. 5

Answer 3

Based on the table you've provided:

```
X | Y
------
2 | 1
2 | 4
3 | 4
4 | 2
5 | 5
```

To determine if this set of pairs represents a function, we need to check the x-values. A relation is considered a function if *every* x-value corresponds to *exactly one* y-value.

In your table, we can see that:

- The x-value **2** corresponds to **two different** y-values (1 and 4).

Since the x-value of 2 maps to two different y-values, this means that it violates the definition of a function.

Thus, the answer is:

**No, because one x-value corresponds to two different y-values.**