which set of ordered pairs represents a function?\\(\\bigcirc \\{(2, -2), (1, 5), (-2, 2), (1, -3), (8…

which set of ordered pairs represents a function?\\(\\bigcirc \\{(2, -2), (1, 5), (-2, 2), (1, -3), (8, -1)\\}\\)\\(\\bigcirc \\{(3, -1), (7, 1), (-6, -1), (9, 1), (2, -1)\\}\\)\\(\\bigcirc \\{(6, 8), (5, 2), (-2, -5), (1, -3), (-2, 9)\\}\\)\\(\\bigcirc \\{(-3, 1), (6, 3), (-3, 2), (-3, -3), (1, -1)\\}\\)

Answer

Explanation:

Step1: Recall the definition of a function

A function is a relation where each input (x - value) has exactly one output (y - value). So we need to check each set of ordered pairs to see if any x - value is repeated with different y - values.

Step2: Check the first set ({(2, - 2),(1,5),(-2,2),(1, - 3),(8, - 1)})

The x - value (1) appears twice, with (y) - values (5) and (-3). So this is not a function.

Step3: Check the second set ({(3, - 1),(7,1),(-6, - 1),(9,1),(2, - 1)})

Each x - value ((3), (7), (-6), (9), (2)) appears only once. So each input has exactly one output.

Step4: Check the third set ({(6,8),(5,2),(-2, - 5),(1, - 3),(-2,9)})

The x - value (-2) appears twice, with (y) - values (-5) and (9). So this is not a function.

Step5: Check the fourth set ({(-3,1),(6,3),(-3,2),(-3, - 3),(1, - 1)})

The x - value (-3) appears three times, with (y) - values (1), (2), and (-3). So this is not a function.