Let d = {x| x is a student} be the domain, and let ƒ(x) = “date of birth” be the possible function. determine if the relation is an example of a function. yes, ƒ is a function. no, ƒ is not a function.

Remember that a function is a special type of relation in which each element of the domain is paired with only one element in the range; in other words for each  value, there is only a  value.

Since D = {x| x is a student}, the domain of the relation is the set of all students; on the other hand, ƒ(x) = “date of birth”, so the range of the relation is the set of the birth dates of the students. Since in a room of 23 people there is a 50% chance of two people sharing the same date of birth, it is inevitable that in the set of all the students there is at least two students that share the same date of bird; therefore two elements in the domain will be paired with the same element in the range. Given that, We can conclude that the relation is not a function.

For the transformation to be defined as a rotation, which statements must be true? Check all that apply.

A) The segment connecting the center of rotation, C, to a point on the pre-image (figure 1) is equal in length to the segment that connects the center of rotation to its corresponding point on the image (figure 2).

B) The transformation is rigid.

C) Every point on figure 1 moves through the same angle of rotation about the center of rotation, C, to create figure 2.

D) Segment CP is parallel to segment CP'.

E) If figure 1 is rotated 360° about point C, it will be mapped onto itself.

Step-by-step explanation: