In Exercises 1–10, determine whether each relation is a function....

Question

In Exercises 1–10, determine whether each relation is a function. Give the domain and range for each relation.{(1, 2), (3, 4), (5, 5)}

Accepted Answer

Hello. Today we're going to be determining whether the given set of points is a function or a relation. So the set given to us is one comma 72 comma eight and three comma three. And in order to determine whether this is a function of our relation. We're gonna go ahead and label all of our X and Y values given. So all the possible Y X values given to us is 12 and three. And all the y values that have been given to us is and three. Now in order for a function to exist, the function needs to be 1-1. And that means that for every input X that we put into our function we get exactly one output y while here when we input one we get an output of seven. When we input to we get an output of eight and when we input three we get an output of three. So the pattern here is that for every input we are getting exactly one output and that matches the description of 1-1. So this is going to be a function now. Since it is a function we need to determine the domain and the range. While the domain is the set of all the input values given to us. So the domain is the set of all possible X values in our current set and all the possible X values are 12 and three. So that's gonna be our domain. Now. What about the range While the range is the set of all the possible y values and the Y values given to us is and eight. And this is gonna be the range for this set of functions. So with that being said, this is a function. The domain is 12 and three and the range is 378. So the solution to this problem is going to be a, so I hope this video helps you in understanding how to determine this as a relation or a function. And I'll go ahead and see you all in the next video.

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