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, 4), (1, 5), (1, 6)}

Accepted Answer

Welcome back. I'm so glad you're here. We have a set of three ordered pairs and we're to figure out if this relation is a function and then we find its domain and range. So when we have an ordered pair we've got in parentheses, our X value and then our Y value. So for the first ordered pair our x value is nine and our y value is 18 for the next ordered pair our X value is nine and our Y value is 27. And for our final ordered pair our X value is nine and our Y value is 36. And when we're trying to determine if something is a function, what we do is ask ourselves is if for every X value there is there only one why value? So if X equals nine is there exactly one? Not X. But is there exactly one Y value. And in this case no there are three Y values 27 and 36. So because there isn't one Y value for every X value, this is not a function next. We're asked to find the domain and the range. While the domain Is going to be all of the possible X values. So in this case the domain is nine and the range is always going to be all the possible Y values. So in this case the Y values are 27 and 36. We look at our answer choices and this matches with answer choice. D Well done. We'll catch you on the next one

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