Which of the following is true regarding the image shown?

B) It is a relation and is NOT a function

Explanation:

We don't have a function because it is possible to draw a single straight vertical line through more than one point on the curve. This graph is said to fail the vertical line test. A function is only possible if any x input leads to exactly one y output, but that's not the case here (eg: x = 0 leads to three different y values). So there are many approaches to see why we don't have a function.

It is a relation however because any relation is simply a collection of (x,y) points; often this collection forms some sort of rule or pattern though it's not mandatory. A graph is a visual way to represent (x,y) points. Some graphs are connected (continuous) with a curve, or other graphs are a set of discrete points, or they may be a mix of both varieties.

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9

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'.