Question

Which table represents y as a function of x?

Question 7 options:

x

y

-1

-1

0

-1

2

0

3

2


0

1

0

2

1

3

2

3


x

y

-1

-1

-1

0

0

2

2

3


x

y

1

0

2

0

3

1

3

2

Answer 1

To determine which table represents \(y\) as a function of \(x\), we need to check if each value of \(x\) corresponds to exactly one value of \(y\).

Let's analyze each provided option:

**Option 1:**
```
x | y
-1 | -1
0 | -1
2 | 0
3 | 2
```
- Each \(x\) value has a unique \(y\) value.
- This table represents \(y\) as a function of \(x\).

**Option 2:**
```
x | y
0 | 1
0 | 2
1 | 3
2 | 3
```
- The \(x\) value of \(0\) has two different \(y\) values (1 and 2).
- This table does not represent \(y\) as a function of \(x\).

**Option 3:**
```
x | y
-1 | -1
-1 | 0
0 | 2
2 | 3
```
- The \(x\) value of \(-1\) has two different \(y\) values (-1 and 0).
- This table does not represent \(y\) as a function of \(x\).

**Option 4:**
```
x | y
1 | 0
2 | 0
3 | 1
3 | 2
```
- The \(x\) value of \(3\) has two different \(y\) values (1 and 2).
- This table does not represent \(y\) as a function of \(x\).

**Conclusion:**
Only **Option 1** correctly represents \(y\) as a function of \(x\), since each \(x\) value is paired with exactly one \(y\) value.