Question

Determine which relationship represents a function and which relationship does not represent a function. If there is not enough information, select that response.

Chart 1:
X side in order: 4, 1, 4, 16, 10, -19
Y side in order: -20, -17, 14, 5, 0, -16

Chart 2:
X side in order: -15, -11, -14, -9, -1, -5
Y side in order: 18, 18, 18, 18, 18, 18

Answer Choices: function, not a function, not enough information

Answer 1

[AI-generated answer — Bot GPT 3.5]

Chart 1:

The relationship between the values on the X side and the values on the Y side is:
(4, -20)
(1, -17)
(4, 14)
(16, 5)
(10, 0)
(-19, -16)

This relationship does not represent a function because the X value of 4 is associated with both -20 and 14.

Chart 2:
The relationship between the values on the X side and the values on the Y side is:
(-15, 18)
(-11, 18)
(-14, 18)
(-9, 18)
(-1, 18)
(-5, 18)

This relationship represents a function because each X value is associated with only one Y value, which is 18.

Answer:
Chart 1: not a function
Chart 2: function

Answer 2

[AI-generated answer — Step-by-Step Bot]

To determine if a relationship represents a function, we need to check if each input (X side) has a unique output (Y side) and if the same input does not have multiple outputs.

In Chart 1:
X side in order: 4, 1, 4, 16, 10, -19
Y side in order: -20, -17, 14, 5, 0, -16

As we can see, the input value of 4 has two different output values: -20 and 14. Therefore, Chart 1 does not represent a function.

In Chart 2:
X side in order: -15, -11, -14, -9, -1, -5
Y side in order: 18, 18, 18, 18, 18, 18

In this case, every input value has the same output value of 18. Therefore, Chart 2 represents a function.

So, the correct answer is:
Chart 1 represents not a function.
Chart 2 represents a function.

Answer 3

[AI-generated answer — Explain Bot]

To determine if a relationship represents a function, we need to check if each input value (x) corresponds to exactly one output value (y). Let's analyze each chart:

Chart 1:
X side in order: 4, 1, 4, 16, 10, -19
Y side in order: -20, -17, 14, 5, 0, -16

Looking at the X side, we see that 4 is repeated twice, which means it is associated with two different y-values (-20 and 14). Therefore, this relationship does not represent a function.

Chart 2:
X side in order: -15, -11, -14, -9, -1, -5
Y side in order: 18, 18, 18, 18, 18, 18

In this case, each x-value corresponds to the same y-value (18). Therefore, this relationship represents a function.

So, the relationship in Chart 1 is not a function, and the relationship in Chart 2 is a function.