blackstreet23
  • blackstreet23
5. Let X = {a, b, c) and Y = {d, e, f, g}. Does the following arrow diagram determine a function from X to Y? Explain. (6 Pts) b. What are the domain, and co-domain
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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blackstreet23
  • blackstreet23
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blackstreet23
  • blackstreet23
@Shalante @ganeshie8 @Hero
blackstreet23
  • blackstreet23
@IrishBoy123

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DanJS
  • DanJS
Look at what a function does, |dw:1443380326622:dw|
blackstreet23
  • blackstreet23
@pooja195
blackstreet23
  • blackstreet23
@aaronq
blackstreet23
  • blackstreet23
I am confused because it meets the two requirements
blackstreet23
  • blackstreet23
1. All x values have a y value
blackstreet23
  • blackstreet23
2. No same x value has two ys
blackstreet23
  • blackstreet23
but do they need to have the same number of elements in X and Y?
blackstreet23
  • blackstreet23
@SithsAndGiggles
blackstreet23
  • blackstreet23
?
blackstreet23
  • blackstreet23
two x values can have the same why but not vice versa i think
welshfella
  • welshfella
yes another way to say it is a function can be many-to-one but not one-to-many
blackstreet23
  • blackstreet23
yes @welshfella but is that one a function?
blackstreet23
  • blackstreet23
Do the elements on X and Y need to be the same number?
welshfella
  • welshfella
what is different with this relation is that you have values of y not linked with a value of x. To be honest i don't know for sure.
DanJS
  • DanJS
the co-domain, is all of the output values, the set contains all of the 'graphed' points that are mapped by the rule X-->Y, Plus possibly more.
DanJS
  • DanJS
Like say for example, if you have the function f(x) = x^2 The Domain is all real numbers, the range of that is just numbers greater than zero...
welshfella
  • welshfella
http://www.mathsisfun.com/sets/domain-range-codomain.html
DanJS
  • DanJS
the co-domain though is all real numbers,
DanJS
  • DanJS
x ---->x^2, both can be any real number, but the actual image of the graph does not have negative values, so the co domain includes the negative values, the range is just positive values
blackstreet23
  • blackstreet23
so the whole set Y is the codomain
blackstreet23
  • blackstreet23
it does not matter that some elements are not used?
blackstreet23
  • blackstreet23
@welshfella
DanJS
  • DanJS
right, the co-domain possibly includes values that aren't graphed by the function
zepdrix
  • zepdrix
I found this kind of helpful :) http://www.mathsisfun.com/sets/domain-range-codomain.html If you scroll half-way down, the three green check marks.
DanJS
  • DanJS
f(x) = x^2 Domain - All Reals Range - y >=0 co-domain - all reals
DanJS
  • DanJS
X ----> X^2 you can choose any number for X, domain You can choose any number for X^2, co-domain the results area always positive, Range or the actual graph
blackstreet23
  • blackstreet23
Yeah thanks ! I get it now

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