Answer
Domain : {1,2,3,4,5}
Range : {1}
Yes this is a function.
Work Step by Step
The question asks us to find the domain, range and to determine if the relation given to us is a function. A relation is a set of ordered pairs.The relation given is
{ (1,1),(2,1),(3,1),(4,1),(5,1) }
In order to find the domain and range, you look at x and y.
$(x,y)$
Our x is the first number and our y will be the second number. From this, we can tell our domain (x) are
{ 1,2,3,4,5 }
Our range is 1. Since the range is the same we only have to list it once.
{1}
In order to check if this qualifies as a function, we must check to see if each x point has a corresponding y point. X points can have the same shared y point. Since each x points shares a y point as it's ordered pair, this relation is a function.
