Which table represents a function?(1 point)

Question

Responses

−5
−8
−8
6 −7
0 −2
5 −1
3
negative 5 negative 8 negative 8 6 negative 7 0 negative 2 5 negative 1 3

2.5 3.2 −3.4
3.2 3.1
4.1 5.2 3.3 3.4 7.2
2.5 3.2 negative 3.4 3.2 3.1 4.1 5.2 3.3 3.4 7.2

−4
−5
−6
−7
−7
−8
−7
−4
−3
−1
negative 4 negative 5 negative 6 negative 7 negative 7 negative 8 negative 7 negative 4 negative 3 negative 1

−1
−2
−4
−9
−23
7 9 2 3 1

Answer 1

To determine which table represents a function, we need to check whether each input (x-value) has a unique output (y-value). In other words, for a relation to be a function, no x-value can be associated with more than one y-value.

Let's analyze each set of values from the responses:

1. First Table:

   -5  -8
   -8   6
   0   -2
   5   -1
   3
   

   • Here, there are no repeated x-values, so this table represents a function.

2. Second Table:

   2.5   3.2  
   3.2   3.1  
   4.1   5.2  
   3.3   3.4  
   7.2  
   

   • The x-value 3.2 appears more than once, so this table does not represent a function.

3. Third Table:

   -4
   -5
   -6
   -7
   -7
   -8
   -7
   -4
   -3
   -1
   

   • Here, the x-values -7 and -4 appear more than once, so this table does not represent a function.

4. Fourth Table:

   -1
   -2
   -4
   -9
   -23
   7
   9
   2
   3
   1
   

   • All x-values are unique, so this table represents a function.

Conclusion: The first table and the fourth table both represent functions.