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Sagot :
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
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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