Find the domain and range of the relation?
The domain is {1, 2, 3, 4} The range is {3} The domain is the x-axis points, and the range is the y-axis points. Whenever a number is repeated, you DO NOT have to write it twice. Remember, on a graph the x-axis goes horizontally (left to right), and the y-axis goes vertically (up and down). Here's some extra info. you might need to know. Now with functions, one way you could find out if it is a function is to use a mapping diagram. Make a list of the domain and range in least to greatest. Next, draw an arrow from the domain to the range that goes with it. If there is ONE arrow coming from each domain, it IS a function. If it is not, then it IS NOT a function. Another way you could do it is by using the vertical line test. Draw a graph, and plot out your points. Then, you use a pencil or even your finger to move left and right and see if it covers two or more points. If it does, it IS NOT a function. If it does not, then it IS a function. Hope that I have helped you!
What are the domain and range of the relation {(-4, 2), (0, 1), (0, 5), (8, 10)}?
None of the above.The range is easy. It is the set of all second components of the ordered pairs, with duplicates ignored, so {2; 1; 5; 10}. That eliminates A, B, and D.The domain is harder, especially for a relation as opposed to a function, and it confuses a lot of people. The domain is the set of all sets that you are allowed to choose from for the first component of the ordered pairs in an itemized list of of the relational pairs. In most branches of mathematics every element of the domain is to be associated with exactly one element of what is called the codomain (the codomain being the set of allowed values and the range being the set of actually use values for the second component of the ordered pairs, so the range is a subset of the codomain). Thus, for a function, you can determine the domain by listing or describing in a set all the values used as first components of the relational pairs. This is apparently what the original question writer intended the readers to do, because that enumerated set {−4; 0; 8} is part of choice C.However, the question involves a relation, not a function. We see that 0 is related to two values (1 and 5), which is generally not allowed for a function. Even if we did not have any case of one element of the domain related to multiple elements of the range, the question tells us it is a relation. For a relation, there is no restriction on how many elements in the codomain that one element in the domain may be related to—it could be zero. Therefore, an element of the domain may not be related to any element in the codomain, and, consequently, there may not be any relational pair with that value in the first component. Therefore, you would not know that that element is in the domain just by looking at the relational pairs. This means that the correct answer is that the domain is some superset of {−4; 0; 8}.
What are the domain and range of the relation (–4, 2), (0, 1), (0, 5), (8, 10)?
The correct answer is option A. For more understanding------ Suppose there are two sets named as A and B. A={1,2,3,4} B={5,6,7,8.9} The relation is as- (1,5),(2,6),(3,8) (from A to B) In the above case: Domain={1,2,3} (set of elements of first set which are involved in a relation) Range={5,6,8} (set of elements of second set which are involved in a relation) Co-domain=B ( if the relation is from A to B i.e. all the elements of the second set form the co-domain regardless of whether they form the relation or not) Tried to elaborate for your kind understanding. Hope it worth its salt.
Find the domain and range of the relation {(4,6),(6,7),(4,3),(5,19),(5,7...
Domain is the set of all inputs {4, 5, 6} Range is the set of all outputs {3, 6, 7, 19} The "convention" for relations given in this ordered pair form is to list the sets in numerical order and not to list duplicates. bye for now.
What is the domain and range of an empty relation?
For each domain [math]S[/math] and each codomain [math]T[/math], there is an empty relation.In general, a relation from [math]S[/math] to [math]T[/math] is represented by a subset of the product [math]S\times T[/math]. The empty relation is represented by the empty subset of [math]S\times T[/math].There is also an entire relation from [math]S[/math] to [math]T[/math]. It’s represented by [math]S\times T[/math] as a subset of itself.
How would you find the domain and range of the relation?
First of all you should know what is domain,domain is the set of values which if you will put in the function y=f(x) then you will get some value and y=f(x) will be defined for that set of x and if you have to see from graph then you can see what are the set of values of x for which function y=f(x) is defined i.e giving some real value.So,you can see in the graph that the function y=f(x) is defined for all real x.so,the domain will be R.Range is the set of values which we will get by putting defined x in function y=f(x).So,the range of that graph will be all real except [-1,1].
What is the domain and range of the relation [math] \sqrt{y} = \sqrt{x}[/math]? What does the graph look like?
The graph looks like the line y=x, but it's only limited to the first quadrant (check it out with desmos.com). Here's why:Square both sides so that you have a “y=…” equation: (√y)^2=(√x)^2 --> y=xYou have to limit the domain and range of the equation to zero and positive numbers because you cannot put negative numbers under the square root.
What is the domain and range in relation to a function?
Let say f is a function from A to B such that y=f(x). Then the set A is called the domain of f. It means domain of a function is the set which is collection of all the values of x. Range is the set that is the collection of all the values of y.
What is the domain and range of the relation R defined by R= {x+1,x+5}:x€ {0,1,2,3,4,5}?
I will assume you mean R = {(x+1,x+5): x belongs to {0,1,2,3,4,5}}.I understand the “element of” symbol is difficult to import in quora. I myself used belongs to instead.Relations are sets of tuples, which is why I added the parentheses. You probably want those. The domain of the relation is the set of elements that show up in the left component of the pairs and the range is the set of elements that show up in right component of the pairs.The values x may take are 0,1,2,3,4,5, so the values that may show up in the left component are 1,2,3,4,5,6. These are the possible values for x+1. Thus the domain is {1,2,3,4,5,6}.Similarly the range is {5,6,7,8,9,10}. These are the possible values for x+5.