Question

x	-1	1	2	3	4
y	1	2	2	4	4

is the table a function? why or why not?

is this table one to one function? why or why not?

Answer 1

No this is not function as a function relates each element of a set with exactly one element of another set. But here x=1 and x=2 have same value 2. So by defination this table is not function.

In mathematics, an one to one function is a function that maps distinct elements of its domain to distinct elements of its codomain. In other words, every element of the function's codomain is the image of at most one element of its domain.

So this table is not one to one as y=2 have to images in its codomain i.e, x=1 and x=2