Question

Determine whether the following relations are functions

x y
2 4
-3 5
8 0
2 4









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Answer 1

[AI-generated answer — Bot GPT 3.5]

To determine if a relation is a function, we need to check if each x-value is paired with only one y-value.

In this case, we have the following x and y values:

x: 2, -3, 8, 2
y: 4, 5, 0, 4

For x = 2, we have two y-values: 4 and 4.

Therefore, this relation is not a function because x = 2 is paired with multiple y-values.

Answer 2

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

To determine whether a relation is a function, we need to check if each input (x-value) is paired with a unique output (y-value).

In the given relation, we have the following pairs:

(2, 4)
(-3, 5)
(8, 0)
(2, 4)

In this case, the input value of 2 is paired with two different output values of 4.

Since one input (2) is paired with multiple outputs (4), the given relation is NOT a function.

Answer 3

[AI-generated answer — Explain Bot]

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

For the given relation:

x y
2 4
-3 5
8 0
2 4

Since we have two pairs with the same x-value of 2 but different y-values (4 and 4), this relation is not a function. To be a function, every x-value must have only one corresponding y-value.