Algebra (I'm depressed I really need help) | Mathematics | Page 1

bitter orchid Sep 30, 2022, 2:14 AM

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spiral tiger Sep 30, 2022, 2:17 AM

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bitter orchid

So these two questions are basically the same. Why don't you look up what the definition of a function is?

bitter orchid Sep 30, 2022, 2:17 AM

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spiral tiger So these two questions are basically the same. Why don't you look up what the de...

Ok, doing that right now

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I was wondering if you could explain how you'd do these, the other questions are basically replicas of this so if I understood that then the rest would be practice.

spiral tiger Sep 30, 2022, 2:19 AM

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And the answer is... I would remember the definition of a function.

bitter orchid Sep 30, 2022, 2:19 AM

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Whenever I read the definitions of math words, such as function it feels like i'm reading another language

spiral tiger Sep 30, 2022, 2:20 AM

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Okay, look. The rule for functions is.

bitter orchid Sep 30, 2022, 2:20 AM

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1 in 1 out?

spiral tiger Sep 30, 2022, 2:20 AM

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Why are you guessing? I'm going to tell you.

bitter orchid Sep 30, 2022, 2:20 AM

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I remember something about that

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Allright, I'm listening

spiral tiger Sep 30, 2022, 2:21 AM

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A particular relation is a function if and only if every input value has exactly one output value.

bitter orchid Sep 30, 2022, 2:22 AM

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So based on that

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So

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6

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on the left

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then 7

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so is it like

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input output?

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Ok

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You just told me that every input has exactly one output

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and in the problem

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there is 3 inputs and 2 outputs

spiral tiger Sep 30, 2022, 2:24 AM

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That doesn't matter.

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What matters is that every input maps to exactly one output.

bitter orchid Sep 30, 2022, 2:25 AM

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so my final answer is: It is not a function because the output value of 32 is paired with 2 different input values.

spiral tiger Sep 30, 2022, 2:25 AM

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Your final answer is incorrect.

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Why did you think that?

bitter orchid Sep 30, 2022, 2:26 AM

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because if every input

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has 1 output

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then there can't be

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2 inputs

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with the same output

spiral tiger Sep 30, 2022, 2:26 AM

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Why not?

bitter orchid Sep 30, 2022, 2:26 AM

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wait

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wait

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so

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every input

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must have atleast

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1 output

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but

spiral tiger Sep 30, 2022, 2:27 AM

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No.

bitter orchid Sep 30, 2022, 2:27 AM

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there is 3 > 2

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every input

spiral tiger Sep 30, 2022, 2:27 AM

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Exactly one output.

bitter orchid Sep 30, 2022, 2:27 AM

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has an output

spiral tiger Sep 30, 2022, 2:27 AM

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Look.

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10 has exactly one output, 32. 12 also has exactly one output, 32.

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An input can't have half an output.

bitter orchid Sep 30, 2022, 2:28 AM

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so the inputs

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can have the same output?

spiral tiger Sep 30, 2022, 2:28 AM

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Yes.

bitter orchid Sep 30, 2022, 2:28 AM

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that's where I was confused

spiral tiger Sep 30, 2022, 2:29 AM

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What would make it not a function is if you had an input with 0 outputs, or an input with 2 or more outputs.

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But it always has to be a natural number.

bitter orchid Sep 30, 2022, 2:29 AM

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So the correct answer is: It is a function because every input has only one output?

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How about this one?:

spiral tiger Sep 30, 2022, 2:40 AM

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On a Cartesian plane, inputs are mapped to the x-axis and outputs are mapped to the y-axis.

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We have a thing called the vertical line test. If it's possible to draw a vertical line through two or more points, it's not a function.

bitter orchid Sep 30, 2022, 2:40 AM

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does it have to be 100% vertical or just going up?

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how would I make the line?

spiral tiger Sep 30, 2022, 2:52 AM

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bitter orchid does it have to be 100% vertical or just going up?

It has to be a straight vertical line.

bitter orchid Sep 30, 2022, 2:53 AM

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does it have to be in the exact middle of the 2 dots?

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or just touching them

#Algebra (I'm depressed I really need help)