Which table represents a function?(1 point)

Question

Responses

−1
−2
−4
−9
−23
7 9 2 3 1
negative 1 negative 2 negative 4 negative 9 negative 23 7 9 2 3 1

−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

−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

Answer 1

To determine which table represents a function, we need to check if each input (x-value) is associated with exactly one output (y-value).

Let’s analyze each of the options provided:

1. First Table:

   • Entries: −1, −2, −4, −9, −23 pairs with 7, 9, 2, 3, 1
   • Each input corresponds to a unique output, so this is a function.

2. Second Table:

   • Entries: −4, −5, −6, −7 (repeated −7), −8, −7, −4, −3, −1
   • The input −7 has multiple outputs (−7 appears twice), so this is not a function.

3. Third Table:

   • Entries: −5, −8, −8 pairs with 6, −7, 0, −2, 5, −1, 3
   • The input −8 has multiple outputs (−8 appears twice), so this is not a function.

4. Fourth Table:

   • Entries: 2.5, 3.2, -3.4, pairs with 3.2, 3.1, 4.1, 5.2, 3.3, 3.4, 7.2
   • Input 3.2 has multiple outputs (it appears twice), so this is not a function.

Conclusion: The first table represents a function, as each input value is associated with a unique output.