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3. does the relation represent a function? {(1, 4), (3, 2), (-3, -2), (…

Question

  1. does the relation represent a function? {(1, 4), (3, 2), (-3, -2), (1, 2), (-2, -3)} a. yes b. no

Explanation:

Step1: Recall function definition

A relation is a function if each input (x - value) has exactly one output (y - value).

Step2: Analyze x - values

In the relation \(\{(1, 4),(3, 2),(- 3,-2),(1, 2),(-2,-3)\}\), the x - value \(1\) is paired with \(y = 4\) and \(y=2\). Since the input \(x = 1\) has more than one output, the relation does not satisfy the definition of a function.

Answer:

B. No