Which of the following lists of ordered pairs is a function? a.(0,,,-,-2) b.(225) c.(2-4) d.(17)

Consider the given ordered pairs. We have to identify the function.

"A function is a relation and it is the set of ordered pairs that does not contain two pairs with the same first component".

Consider the first ordered pair,

A. (0,2),(4,2),(0,-4),(4,-2)

Since, these ordered pairs has '0' as the same first component in (0,2) and (0,-4). So, it is not a function.

Consider the second ordered pair,

B. (2,4),(3,9),(4,16),(5,25)

Since, these ordered pairs has all the different first component. So, this is a function.

Consider the third ordered pair,

C. (2,4),(-2,4),(3,9),(-2,-4)

Since, these ordered pairs has '-2' as the same first component in (-2,4) and (-2,-4). So, it is not a function.

Consider the fourth ordered pair,

D. (1,1),(2,3),(1,5),(4,7)

Since, these ordered pairs has '1' as the same first component in (1,1) and (1,5). So, it is not a function.

Therefore, the ordered pairs given in option B is a function.

So, Option B is the correct answer.

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: