A group of students were discussing whether the relationship on the graph
is a function.

A function is a relationship that maps the elements of a set, the domain, into elements of another set, the range.

The restriction that we have for functions is: The elements on the domain can be mapped into only one element in the range.

Then if:

f(x1) = y1

and

f(x1) = y2

where y1 is different than y2

f(x) is not a function.

Now, in the graph you can see a region where both lines overlap, then for some values of x we have two possible values of y, this means that the graph does not represent a function.

Then:

Ed: He is incorrect because we can have different values in the domain mapped into the same value in the range (like in the case of a line y = b, where we have all the elements in the domain mapped into the same element in the range, b)

Debra: There is something called piecewise functions, that are functions of this type, formed by different pieces.

Alejandro: He is correct.

Antoine: Not because you can write an equation means that the relation is a function. You can write an equation for a circle, but it will not be a function.

1e+27

step-by-step explanation:

days of the week

step-by-step explanation:

javier earned more money then kyle, so that won't always be a constant term, but the days of the week do not change so that term is always constant.

edit: i meant