Question

question 1
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tell whether or not the relation is a function.
{(-3,5), (1,-2), (5,6), (7,5), (10,-6)}
select one:
a. no
b. yes

Explanation:

Step1: Recall the definition of a function

A relation is a function if each input (x - value) has exactly one output (y - value). In other words, no two ordered pairs in the relation can have the same x - value with different y - values.

Step2: Check the x - values of the given ordered pairs

The given relation is \(\{(-3,5),(1,-2),(5,6),(7,5),(10,-6)\}\). The x - values are \(-3\), \(1\), \(5\), \(7\), and \(10\).

• The x - value \(-3\) is paired with \(5\) only.
• The x - value \(1\) is paired with \(-2\) only.
• The x - value \(5\) is paired with \(6\) only.
• The x - value \(7\) is paired with \(5\) only.
• The x - value \(10\) is paired with \(-6\) only.

Since each x - value is paired with exactly one y - value, the relation satisfies the definition of a function.

Answer:

B. Yes