x y

Question

-3 -3
-2 2
-1 5
0 6
1 6
2 3
3 -2

Does the table describe x as a function of​ y?
A.
​Yes, each output y is assigned to exactly one input x.
B.
​No, more than one output value y is assigned to the input​ x-value
  
enter your response here.
C.
​Yes, exactly one output x is assigned to each input y.
D.
​No, more than one output value x is assigned to the input​ y-value

Answer 1

To determine if the table describes \( x \) as a function of \( y \), we need to check whether each output value \( y \) is assigned to exactly one input value \( x \).

Let's analyze the table:

| x | y | |-----|-----| | -3 | -3 | | -2 | 2 | | -1 | 5 | | 0 | 6 | | 1 | 6 | | 2 | 3 | | 3 | -2 |

Here, we see that:

• The output \( y = 6 \) corresponds to two different \( x \) values: \( x = 0 \) and \( x = 1 \).

Since more than one \( x \) corresponds to the same \( y \) value (specifically, \( y = 6 \)), \( x \) cannot be described as a function of \( y \).

Therefore, the correct answer is:

D. No, more than one output value x is assigned to the input y-value.