How do you graph y=3x-2 and identify points on the graph without using a prefix?

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Discussion Overview

The discussion revolves around graphing the linear equation y=3x-2 and identifying points on the graph, as well as determining which of several provided tables represents a relation that is not a function. The scope includes mathematical reasoning and homework-related queries.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Debate/contested

Main Points Raised

  • One participant asks for help in drawing the graph of y=3x-2 and identifying points on the graph using a grid format.
  • Another participant presents a table with input and output values and seeks to identify which table does not represent a function.
  • It is noted that a function cannot have one input corresponding to two different outputs, as per the definition of a function.
  • A participant suggests creating a chart by selecting values for x and calculating the corresponding y values based on the equation y=3x-2.
  • Another participant interprets the notation in the tables and discusses the implications of fractions versus "and" in the context of identifying functions.
  • A participant provides a sample x, y chart with calculated points based on the equation y=3x-2.
  • There is a discussion about the interpretation of input-output relationships in the context of functions, with emphasis on the definition of a function.

Areas of Agreement / Disagreement

Participants generally agree on the definition of a function and the method for graphing the equation, but there is some uncertainty regarding the interpretation of the tables and which one represents a relation that is not a function. The discussion remains unresolved on this point.

Contextual Notes

Some participants express confusion about the notation used in the tables, particularly regarding fractions and their implications for identifying functions. There is also a lack of consensus on the correct interpretation of the tables presented.

bbg5000
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How do you...

Draw the graph of y=3x-2 on the grid. Identify at least two points on the graph by their coordinate pairs.

Anybody get that??

It's one of those x,y axis grid thingers. And there's a table under it with 8 columns and 2 rows. Kinda like..
______________________________________
X | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
Y | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 |


Something like that. Anybody help?
 
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Also, I am asked to pick out which table represents a relation that is NOT a function.

A.
Input Value | +9 | 4 | 16 | 32
Output value|-18 | 8 | 32 | 64

B.
Input Value | 0 |1/-1|2/-2| 3
Output value| 0 | + 1 | +2 | 9

C.
Input Value | -2 | -1 | 0 | 1
Output value| +4 | +2 | 0| -2

D.
Input Value | 10 | 4 | 9 | 16
Output value| 0|2/-2|3/-3|4/-4

Any solutions?? I don't understand this stuff, especially at 0247hrs!
 
a function cannot take one input and give two outputs, it's in the definition of function.
 
To answer the first question- Do the arithmetic!

Saying "y=3x-2" MEANS that if x is a certain number, then y is "3 times that number minus 2". You can make up a chart of "input value and output value", like you showed,
by choosing simple number for x (the "input value") and then calculating y (the "output value") according to that formula. The point about "identify at least 2 points" is that the graph of this is a straight line so, strictly speaking, it is determined by 2 points.

As to 2, As Matt Grime told you- a function cannot have two different "outputs" for the same "input". (They are trying to "fool" you a little in one of those by writing fractions that can be reduced. See what happens if you reduce them.)
 
I read the / as an 'and' not a fraction, but the same thing applies.
 
So for this x, y chart thing, it'd go something like...

| x | y |
| 0 | -2|
| 2 | 4 |
| 4 | 7 |
| 5 | 13|

And then the second question is kinda like reversing it?? And the / was like and/or type thing. Sorry about that. So either one of those ones could be the one with a relation but not a function??

Thanks.​
 
if the input is a and the output is b AND c, then it can't be a function by definition (where b and c are different).
 

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