Answer:
B,D and E are functions.
Step-by-step explanation:
" A function is a process or a relation that associates each element x of a set X, the domain of the function, to a single element y of another set Y (possibly the same set), the codomain of the function "
From the graph we can also check that any line passing through the domain and parallel to co-domain should intersect the graph exactly once.
Clearly from the graph of the functions we could see that:
Graph A:
Has many images corresponding to x= -6.
Hence, A is not a function.
Graph B:
B is a function as corresponding to every point in domain the image is unique. Also by making a line passing through the domain and parallel to the codomain the line intersect the graph exactly at one point.
Graph C:
C is not a function as it has two images for some points.
Graph D:
D is a function as it has unique image corresponding to every x-value.
Graph E:
E is also a function as it has unique image corresponding to every x-value.
