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Is the relation given by the set of ordered pairs below a function? (Yes or No)

[tex]\[ (4, -3), (-3, 2), (-4, 6), (8, -2), (0, 2) \][/tex]

Sagot :

GinnyAnsweridn
To determine if the set of ordered pairs represents a function, we need to check if every x-value is associated with exactly one y-value. In other words, each x-value should appear only once in the entire set of pairs.

Let's examine each pair:

1. [tex]\( (4, -3) \)[/tex]
- The x-value is 4.

2. [tex]\( (-3, 2) \)[/tex]
- The x-value is -3.

3. [tex]\( (-4, 6) \)[/tex]
- The x-value is -4.

4. [tex]\( (8, -2) \)[/tex]
- The x-value is 8.

5. [tex]\( (0, 2) \)[/tex]
- The x-value is 0.

Next, we list all the x-values and check for any duplicates:
- 4, -3, -4, 8, 0

We observe that each x-value appears exactly once. Since there are no repeated x-values, each input (x-value) has exactly one output (y-value).

Therefore, the set of ordered pairs represents a function.

The answer is:
Yes
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