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Mathematics 7 Online
zarkam21 (zarkam21):

Help with easy functions

OpenStudy (varaug):

what ye need help with?

zarkam21 (zarkam21):

OpenStudy (3mar):

Could I help you?

OpenStudy (varaug):

3mar might need to help you on this one sorry.. <:)

zarkam21 (zarkam21):

yes @3mar

OpenStudy (3mar):

Pleasure is mine!

zarkam21 (zarkam21):

=)

OpenStudy (3mar):

1 min

zarkam21 (zarkam21):

ok

OpenStudy (3mar):

Are you familiar with what the function means?

zarkam21 (zarkam21):

No not really

OpenStudy (3mar):

Ok. http://www.mathsisfun.com/sets/function.html I think this would help you.

OpenStudy (mathmale):

Each oval on the left represents the INPUTS; each oval on the right represents the OUTPUTS. How do you determine whether or not you have a function in each case? Look at all of the members of the DOMAIN. If ONLY ONE member of the OUTPUT set connects with each member of the DOMAIN, you have a function. If, on the other hand one member of the input set connects with TWO or more members of the output set, you do NOT have a function.

OpenStudy (3mar):

Time for pray - 15 min - and I will be back In Sha' Allah! Salam!

OpenStudy (mathmale):

Think: "One to one." Not one to two, not one to three, and so on.

OpenStudy (mathmale):

Look at situation #1. The four members of this set of INPUTS are 4, 5, 6 and 7. Check: That 4 "maps" onto how many members of the OUTPUT set?

zarkam21 (zarkam21):

okay so it should simply be one to one, thats where I was getting confused

zarkam21 (zarkam21):

@mathmale

zarkam21 (zarkam21):

that would mean 2 and 4 are the answers?

zarkam21 (zarkam21):

and 3 too

OpenStudy (mathmale):

Yes. One to one => you have a function. Two input values have the same output value => you have a function

OpenStudy (mathmale):

One input value has 2 or more output values associated with it => you do NOT have a function

zarkam21 (zarkam21):

so just 2 and 4

OpenStudy (mathmale):

So, which of the four cases is NOT a function? Explain.

zarkam21 (zarkam21):

number 1 because for one input there is more than 1 output

OpenStudy (mathmale):

In #1 I see that input values 4, 5 and 6 map to 2 in the set of output functions. Anything wrong with that?

zarkam21 (zarkam21):

yes well that wouldn't be a function

OpenStudy (mathmale):

For #1 I see that all four members of the input set map on to ONLY ONE member of the output set; that means "one to one." But you're saying this is not a function. Why?

OpenStudy (mathmale):

What about "7" in the input set? is this one to one or not one to one?

zarkam21 (zarkam21):

oh i got confused,, i thought that if there is more than one output on an input value it is not a function

OpenStudy (mathmale):

That's absolutely right. So, #1 does not represent a function.

zarkam21 (zarkam21):

like ofr example 4,5,6 are a;; on 2 so thats why I thought it is not a function

zarkam21 (zarkam21):

oh so I'm right

OpenStudy (mathmale):

yes, you are: #1 is not a function because 2 different output values are associated with input value 7.

zarkam21 (zarkam21):

2 is a function because there is a put put value for every input?

OpenStudy (mathmale):

put put? please explain

zarkam21 (zarkam21):

input****

OpenStudy (mathmale):

better. Actually, you look at each member of the INPUT set and ask yourself how many members of the OUTPUT set are connected to each.

OpenStudy (mathmale):

Only 2, 4, 6 and 10 are connected to some member of the OUTPUT set. Does 2 have connections to more than one value in the output set?

zarkam21 (zarkam21):

No

zarkam21 (zarkam21):

it is a function

OpenStudy (mathmale):

Right. If you ask yourself the same question in regard to inputs 4, 6 and 10, your answers would be the same. Thus, this relationship is one to one and is a function.

zarkam21 (zarkam21):

so knowing this I know that #4 is not a function because there is an input that has more than one output

OpenStudy (mathmale):

Exactly right. Very good!

zarkam21 (zarkam21):

and 3 is because there is one output for each input

OpenStudy (mathmale):

Exactly right.

OpenStudy (mathmale):

Say "ONLY one output for each input."

OpenStudy (mathmale):

Happy to work with you. See you again, soon. Over and out.

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