Which of the following relations represents a function? {(4,2), (4,3), (4, 5), (4,7)} {(-2, 1), (0,5), (1, -3), (-2, 0)} {(-1, 3) (-2, 3) (-1, 5) (-2,5)} {(-3, 1), (1, 4), (-2, 1), (0, 3)}

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

Step-by-step explanation:

If a set of ordered pairs represents a function, then there must not be any first coordinate that repeats itself more than once in any of the ordered pairs.

In other words, no x-coordinate should correspond to more than one y-coordinate.

From the given options, the only set of ordered pairs that satisfies the conditions of a function is;

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

The correct answer is the last option.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: