Which of the following relations is not a function?

{(0, 0), (1, 0), (2, 0)}
{(-1, 3), (4, 2), (-1, 5)}
{(1, 2), (3, -5), (-1, 7)}
{(7, -1), (3, -2), (5, -2)}

The formal definition of a function states that: "A function relates each element of a set with exactly one element of another set (possibly the same set)."

The part that says "..with exactly one element.." means that for every input (x-coordinate), it cannot return 2 or more values (y-coordinate). In other words, among the relations stated, we just have to look for the relation with repeating x-coordinates to find the relation that is not a function.

{(0, 0), (1, 0), (2, 0)} has no repeating x-coordinates so it is a function.
{(1, 2), (3, -5), (-1, 7)} has no repeating x-coordinates so it is a function.
{(7, -1), (3, -2), (5, -2)} has no repeating x-coordinates so it is a function.
{(-1, 3), (4, 2), (-1, 5)} has 2 pairs of "-1" x-coordinates so it is NOT a function.

Answercounterclockwise rotation about the origin by 180 degrees followed by reflection about the y-axisexplanationthe given figure has verticesrecall that for counterclockwise rotation about the origin, when we rotate figure pqrs counterclockwise through an angle of 180° about the origin, the coordinates will becomenext, we reflect in the y-axis by negating the x-coordinates of the resulting figure to obtain,therefore the correct answer is c