If y = 6x − 3, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? (Provide an explanation why if possible.)

A) {(0, 3), (1, −9), (2, −15)}
B) {(0, −3), (2, 15), (4, 21)}
C) {(0, −3), (2, 9), (4, 21)}
D) {(0, 3), (−2, 15), (4, 21)}

Respuesta :

[c] because when you plug in the coordinates to "y" and "x" the statement will be true. Ex: -3=-3, 21=21, and 9=9

Option C) is correct

A set is a well-defined collection of objects.

[tex]y=6x-3[/tex]

Put [tex](x,y)=(0,-3)[/tex]

[tex]-3=0-3[/tex]

[tex]-3=-3[/tex] which is true.

Put [tex](x,y)=(2,9)[/tex]

[tex]9=12-3\\ 9=9[/tex]which is true

Put [tex](x,y)=(4,21)[/tex]

[tex]21=24-3\\ 21=21[/tex] which is true

So, points [tex](0,-3),(2,9),(4,21)[/tex] satisfy the given equation.

Option C) is correct.

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