Which set of ordered pairs represents a function, and how does it represent that function?
a. {(2, –2), (1, 5), (–2, 2), (1, –3), (8, –1)}
b. {(3, –1), (7, 1), (–6, –1), (9, 1), (2, –1)}
c. {(6, 8), (5, 2), (–2, –5), (1, –3), (–2, 9)}
d. {(–3, 1), (6, 3), (–3, 2), (–3, –3), (1, –1)}

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.