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Mathematics 13 Online
zarkam21:

Help please

zarkam21:

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zarkam21:

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Eiwoh2:

@Vocaloid @pooja195 Masters of Math.

pooja195:

^ @JustSaiyan

JustSaiyan:

I don't Math. I do everything else.

pooja195:

I'm not sure if this will help... |dw:1510255136147:dw|

pooja195:

To figure out if it is a function you can use the vertical line test.

pooja195:

|dw:1510255263246:dw| We know that this is a function because the lines do not hit the points twice

pooja195:

Can you figure out whether it is one to one or not?

zarkam21:

Sorry I was afk

zarkam21:

Okay so the first graph is function?

Vocaloid:

good, it's a function

Vocaloid:

then apply the horizontal line test to see if it is one to one or not

zarkam21:

it is not one to one

Vocaloid:

good, so it would be "function but not one to one"

Vocaloid:

repeat these steps for the circle graph

zarkam21:

circle is not a function

Vocaloid:

good so you would write "not a function" there's no need to do the horizontal line test in this case

zarkam21:

wait is this for the second graph with little circles on it or the one big circle

Vocaloid:

OH

zarkam21:

look at the two pictures I posted

Vocaloid:

yeah it would be for the big circle

zarkam21:

for the second one it would be one to one function

Vocaloid:

it doesn't pass the horizontal line test

zarkam21:

ohh not a function

Vocaloid:

it's a function (passes vertical) but not one to one (fails horizontal)

zarkam21:

actually it is a function but not one to one

Vocaloid:

anyway, for the last one, (the straight line) what do you think?

zarkam21:

one to one function

Vocaloid:

awesome

zarkam21:

so the first graph is function but not one to one the second is one to one function the third is not a function the fourth is not a function and the fifth is one to one function

Vocaloid:

when you say "second one" are you talking about the one with the little open/closed circles?

zarkam21:

yes

zarkam21:

they should be in order :S

Vocaloid:

second function is not one to one (fails horizontal line test)

zarkam21:

so it is a function but not one to one

Vocaloid:

yes

Vocaloid:

ok I might be a little scatterbrained today but I only see 4 functions

zarkam21:

I'm sorry my fault

zarkam21:

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zarkam21:

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zarkam21:

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zarkam21:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @zarkam21 so the first graph is function but not one to one the second is one to one function the third is not a function the fourth is not a function and the fifth is one to one function \(\color{#0cbb34}{\text{End of Quote}}\)

zarkam21:

Now it should match up

Vocaloid:

the third one (the curvy line) passes both the horiz and vert line tests

Vocaloid:

so the third is a one to one function

Vocaloid:

everything else is good

Vocaloid:

I'm going to go pick up my lunch I'll be back in like 20 mins

zarkam21:

I am back

zarkam21:

So for reasoning that needs to be provided... I wrote for function but not one to one that it is so because it fails the horizontal line test

zarkam21:

@Vocaloid

Vocaloid:

yes, that is sufficient

zarkam21:

and for the one to one functions I just wrote that there is one value that satisfies each point

Vocaloid:

I'm not sure exactly what you mean by that

Vocaloid:

are you saying that there is exactly one y for every x?

zarkam21:

yes

zarkam21:

Let me re-word that.

zarkam21:

I am being a bit clumsy

zarkam21:

This is a one to one function which means that for every x value there is a y value.

zarkam21:

Sufficient?

Vocaloid:

yes, be sure to specify that they are "unique" values

Vocaloid:

every x gets a unique y, so no y-values repeat themselves for the entire function

zarkam21:

Okay so for not a function just say that does not pass the horixontal and vertical test

Vocaloid:

good

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