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Mathematics 17 Online
OpenStudy (anonymous):

Help please !!!!!!!!! I just want to be sure if I m correct or not. Given the sequence of numbers: 5, 6, 8, 11, 15, 20, 26, 33, 41,… Explain whether or not this sequence can be considered a function. These number are not a function because these number does not have input and output relationship, since numbers does not have input and output relationship, it cannot be a function. Although there is a x value repeat itself such as (5,15) (5,20). That's why, It cannot be a function

OpenStudy (anonymous):

@amistre64 can you check this one?

OpenStudy (anonymous):

@wolfe8 can you check my answer?

OpenStudy (anonymous):

@jigglypuff314

OpenStudy (anonymous):

@whpalmer4

OpenStudy (anonymous):

@hartnn can you check this?

hartnn (hartnn):

i would say input variable(x) could be assumed and the sequence for output variable y is given. based on which we can form a function y= f(x) = 5+ x(x-1)/2 which is indeed a function

OpenStudy (anonymous):

how will able to know if those are function or not? Please help me

hartnn (hartnn):

i'll tell u a case when we can say its not a function, let we have pairs of numbers as (1,2),(1,4),(2,4) in this case , if you observe, the x value of '1' maps to 2 different y values. only in such cases, those pairs does not form a function, and they are just a relation. in our question, i 'assumed' that x values do not repeat, which makes the pairs as a function. even i am in some doubt whether to assume that and call this sequence a function or to not assume and call it 'not a function' you might wanna take a second opinion.

hartnn (hartnn):

if we don't assume anything, then you are absolutely correct, including the reason you gave.

OpenStudy (anonymous):

okay (5,15) (5,20) ( 11, 41) (6,33). you mean like this?

hartnn (hartnn):

yes, thats would not be a function. as f(5) cannot be determined whether it will be 15 or 20

OpenStudy (anonymous):

okay then I am right way I stated but I do have to showed to like this?

hartnn (hartnn):

the input sequence is not given at all ?

OpenStudy (anonymous):

I mean, I do have to show it like this in order pair way I showed you . right?

hartnn (hartnn):

if you are answering that its not a function, then yes, you can show the example in ordered pairs

OpenStudy (anonymous):

okay, can you tell me if my answer is absolutely correct or there still some error?

hartnn (hartnn):

the question is itself unclear to me, they should have given you input sequence. But, given that question, i would say yes, your reasoning is correct.

OpenStudy (anonymous):

okay thanks so much for helping !!!!!!!!! Sorry I kept you here quite long :(

hartnn (hartnn):

no problem :)

OpenStudy (anonymous):

thanks a lot again for your precious time :) you are too cool and amazing more than Goku :)

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