10 Are the following ordered pairs a function? $$ (-2,1)(3,-4)(-2,-6) $$

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UpStudy AI · Accepted Answer

To determine whether the given set of ordered pairs represents a function, we need to check if each input (the first element of each pair) is associated with exactly one output (the second element).

**Given Ordered Pairs:**
$$
(-2, 1),\ (3, -4),\ (-2, -6)
$$

**Analysis:**
- The input **-2** is associated with **1** in the first pair: $$(-2, 1)$$.
- The input **-2** is also associated with **-6** in the third pair: $$(-2, -6)$$.

**Conclusion:**
- **Violation of Function Definition:** In a function, each input must map to only one output. Here, the input **-2** is mapped to two different outputs (**1** and **-6**), which violates the definition of a function.

**Therefore, the given ordered pairs do not form a function.**

**Final Answer:**  
No. The input –2 is paired with both 1 and –6, so the relation is not a function.
The given ordered pairs do not form a function because the input –2 is paired with both 1 and –6.

10 Are the following ordered pairs a function?

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