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. {(3, 4), (3, 5), (4, 4), (4, 5)}

Accepted Answer

Alright. Hello. Today we're going to be determining whether the set of points given to us is a function or a relation. So let's go ahead and start by labeling all the X and Y values given to us. So the points are one comma 11 1 comma 3 comma eight and three comma 10. So there are two different X values that are given to us a value of one and a value of three. And there are four total y values given to us. 11 22 8 and 10. Now what the set of points is saying is that at the X value one we get the values 11 and 22 and at the X value three we get the Y values eight and 10. So this is saying that for every input of X that we put into our function we get two outputs. Y. Well keep in mind that in order for this to be a function, the function needs to be 1 to 1 and that means that this is one input to one output. And for this particular set we have one input, 22 outputs and that is not 1-1. Therefore this is not a function but it is a relation. So since it is not a function, the answer to this problem is going to be d So I hope this video helps you understand how to determine a function in relation and I'll go ahead and see all in the next video

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