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HomeScore: 0.67 of 1 pt3 of 34 (19 complete)jments3.2.7PlanFind the domain and the range of the relalion. Determine whelher the relation is function {(3) (3-9) (3)}...

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HomeScore: 0.67 of 1 pt3 of 34 (19 complete)jments3.2.7PlanFind the domain and the range of the relalion. Determine whelher the relation is function {(3) (3-9) (3)} The domain is (Type an integer or iraction. Use comma separate answers as needed )ebookier ContentsOrganizerJent Success Tips 20sdent Solutions Jnuall

Home Score: 0.67 of 1 pt 3 of 34 (19 complete) jments 3.2.7 Plan Find the domain and the range of the relalion. Determine whelher the relation is function {(3) (3-9) (3)} The domain is (Type an integer or iraction. Use comma separate answers as needed ) ebook ier Contents Organizer Jent Success Tips 20s dent Solutions Jnuall



Answers

Find the domain and the range of each relation. Also determine whether the relation is a function. $$\{(-3,-3),(0,0),(3,3)\}$$

26 in chapter three, Section one. And we want to give the domain and range of this relation zero negative 21323 and 37 Then we also want to decide whether the relation represents a function. So first off, the domain is going to be the X coordinate of these ordered pairs up here, so that's going to be zero, one, two and three. And then the range is going to be the Y coordinates, so that's going to be negative too three, three again. But I don't need to repeat that and seven to determine whether the relationship represents the function, I need to make sure that there are um not to order perry with the same X value and different Y values. That is not the case up here. So this would be a function.

Besides 29 chapter 30 section one. And we have this relation negative 18032 negative one and 43 And we want to give the domain and range of it as well as decide whether it is a function or not. So the domain is going to be the X coordinate that we see up here. So we have negative 102 and four. We're gonna write that in order from smallest to biggest, which it happens to already be in. Then our range is going to be the set of wide coordinates up here and we can see that we have negative one is our smallest. Y coordinate, three is our next moment. And then we see three is here in here. So we don't need to write it twice. And then eight is our last Y coordinate here. Mhm. Now, in order to decide whether this relation is a function, we have to make sure that every X value had exactly one Y value, which means that there are no two points that have the same expert different wise. And so all the points here have different X values. And so we would say yes, this relation is a function, and that's the answer.

Okay. Here on problem number eight, we have this relation wanting to find some things from it. First, we won't identify the domain and their range. So to do this, what I'm gonna do is make a mapping diagram from this Over here, I'm gonna put my domain, and then over here, we're gonna put my range. Now, Your domain is just all of your ex values is just all of these first coordinates. Now, if you notice on all these all those forced coordinates or three. So the only thing in your domain his three. It's just all those first coordinates, But they all happen to be three. And so that's all your domain is is just three now for your range. He arranges all these second coordinates. They're all of your Why values so 78 negative to four on one. And so that's your range. You know all those second coordinates Now for our mapping? We want to know. Okay, at each X value does toe which y value each part of the domain goes to which part of the range? Well, here on this first coordinate three goes to 73 in your domain goes to seven in your range. So three went to seven here on the second part. Three went to eight and our 3rd 13 went to negative, too. And then three went to four and then three went toe one. And so there's our mapping diagram. All right, so we have our domain, We have a range. We have our mapping diagram. We also want to know, Is this a function? Now it's only a function if every X value. So every part of the domain can on Lee Go two at most one part of the range. So if one thing over here in this domain goes to two things over here in that range, that tells us it's not a function. Well, look at what happens with 33 does to seven and it knows to eight. And it knows the negative, too. And it goes to four, and it knows toe one, and it goes to one. So three went all of these saints, So it definitely didn't just goto one of them. And so since it goes to multiple things, they're in the range. This tells us No, it is not a function

We've got this set of points which makes a relation. So using these points, let's find the domain and range. The domain is the set of all X values in a relation, so that is from the first point. We get 15 from the second. We get zero from the third. We get four and from the fourth we get negative three. The range is similar, but it's all the Y values. So the range for this is going to be from the first point negative three than 06 and it's negative eight. So we've just had to list out the X values and the Y values for the domain in range respectively, and therefore we're not done.


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