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Mathematics 25 Online
OpenStudy (anonymous):

Need Help Plz!!

OpenStudy (anonymous):

A. Function B. Not a function 1. {(3, 7), (3, 6), (5, 4), (4, 7)}

OpenStudy (anonymous):

For functions like these (x,y), x=input and y=output.

OpenStudy (anonymous):

The input cannot have more than one output.

OpenStudy (anonymous):

Do you see an input with more than one output?

OpenStudy (anonymous):

(3,7), (3,6) (5,4), (4,7). (x,y) x=input y=output.

OpenStudy (anonymous):

I think this one is a function

OpenStudy (anonymous):

If 2 x values are the same number, they are the same input.

OpenStudy (anonymous):

The same input cannot have more than 1 y value.

OpenStudy (anonymous):

(3,7) (3,6) have the same x (3)

OpenStudy (anonymous):

Do they have the same output?

OpenStudy (anonymous):

No

OpenStudy (anonymous):

Correcto, and since the same x value does not have the same y value as each other, this is not a function.

OpenStudy (anonymous):

if it was (3,6), (3,6), it would be a function.

OpenStudy (anonymous):

Oh ok can u check 3 more?

OpenStudy (anonymous):

Sure.

OpenStudy (anonymous):

2. {(1, 5), (3, 5), (4, 6), (6, 4)} Not a function

OpenStudy (anonymous):

Why do you think it's not a function?

OpenStudy (anonymous):

Out of curiosity.

OpenStudy (anonymous):

Oh wait wait I think its a function I read it wrong

OpenStudy (anonymous):

Why do you think it's a function?

OpenStudy (anonymous):

Because they dont have the same in/out put

OpenStudy (anonymous):

Well they dont have it more than once

OpenStudy (anonymous):

Correct. Side note though. 2 different numbers can have the same output, and it'll still be a function. The same input just cant have 2 or more outputs.

OpenStudy (anonymous):

But correcto, this is a function.

OpenStudy (anonymous):

Like (3,7) and (9,7) This is a function.

OpenStudy (anonymous):

3. {(2, 3), (4, 2), (4, 6), (5, 8)} Not a function

OpenStudy (anonymous):

I think because it doesnt look right on my graph

OpenStudy (anonymous):

Correcto. Can you find another reason why it's not a function?

OpenStudy (anonymous):

Because it kinda curves a lil at (4,2) and (4,3)

OpenStudy (anonymous):

Okay, ignore the graph for a moment.

OpenStudy (anonymous):

And look only at the numbers.

OpenStudy (anonymous):

*the points

OpenStudy (anonymous):

What can you tell about the points that were given to you?

OpenStudy (anonymous):

(2,3), (4,2), (4,6) (5,8). Just by looking at these.

OpenStudy (anonymous):

(4,2) and (4,6) have the same input

OpenStudy (anonymous):

They have the same input which is okay, until you end up with different outputs.

OpenStudy (anonymous):

Like (4,2), (4,2) would be okay, since they're the same point with the same input and output.

OpenStudy (anonymous):

4. {(0, 4), (3, 2), (4, 2), (6, 5)} Function because (3,2) and (4,2) have the same output

OpenStudy (anonymous):

Correct, but just because two different points have the same output, doesn't make it a function. For an example (1,2) (3,4) (5,6) (8,10) is a function, but no input have the same output.

OpenStudy (anonymous):

Oh ok thx u were alot of help! (:

OpenStudy (anonymous):

Yup, no problem? Anything else you need help with?

OpenStudy (anonymous):

Yes theres a question with graphs and im not sure on it

OpenStudy (anonymous):

I'll be able to help you I think. Lol

OpenStudy (anonymous):

My sister said b but im not sure

OpenStudy (anonymous):

Okay determining graph functions is a whole lot easier than the other thing.

OpenStudy (anonymous):

You can perform this thing called a Vertical Line test.

OpenStudy (anonymous):

You just pick a point on the line, and draw a line up and down. If the line touches any other part of your graph other that the part of the graph you drew it on first, then it is NOT a function.

OpenStudy (anonymous):

Oh so C.?

OpenStudy (anonymous):

If you draw a vertical line up and down on part C from the center of it, it will touch 2 parts of it. Therefore C is not a function.

OpenStudy (anonymous):

Ok for sure not A now im thinking D

OpenStudy (anonymous):

Why d?

OpenStudy (anonymous):

Remember, if you draw a vertical line on the graph, and your vertical line touches the graph at 2 different parts, it is not a function.

OpenStudy (anonymous):

The piont is on the side of the circle A is obviously not a function

OpenStudy (anonymous):

What do you think the answer is?

OpenStudy (anonymous):

D

OpenStudy (anonymous):

Okay, so ignore the points that the question already placed on D. Place a point somewhere else along the line of D.

OpenStudy (anonymous):

Wherever you place that point, if the vertical line touches 2 different parts of the graph, it's not a function.

OpenStudy (anonymous):

So the answer would be A??

OpenStudy (anonymous):

nu

OpenStudy (anonymous):

It would be B

OpenStudy (anonymous):

No matter where you place a vertical line at along B, it will not touch at 2 different parts.

OpenStudy (anonymous):

So I was right the very first time?

OpenStudy (anonymous):

Mhm. I thought you said ur sister said the answer.

OpenStudy (anonymous):

I was just showing you the work and reasoning behind it.

OpenStudy (anonymous):

Well yea my sister did answer it

OpenStudy (anonymous):

If u dont mind me asking how old r u?

OpenStudy (anonymous):

15

OpenStudy (anonymous):

Oh ur really smart :P

OpenStudy (anonymous):

Thanks, lol.

OpenStudy (anonymous):

Well I gtg byye

OpenStudy (anonymous):

Yup, hope I helped some!

OpenStudy (anonymous):

Yea alot

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