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

In summary, the conversation is discussing how to draw a graph of y=3x-2 and identifying at least two points on the graph using coordinate pairs. They also mention a table representing a relation that is not a function and ask for help understanding the concept. The solution is to do the arithmetic and use the definition of a function to determine which table is not a function. The conversation ends with a thank you for the help.
  • #1
bbg5000
14
0
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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  • #2
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!
 
  • #3
a function cannot take one input and give two outputs, it's in the definition of function.
 
  • #4
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.)
 
  • #5
I read the / as an 'and' not a fraction, but the same thing applies.
 
  • #6
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.​
 
  • #7
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).
 

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

What is the difference between a relation and a function?

A relation is a set of ordered pairs that relate two sets of data, while a function is a special type of relation where each input has only one output. In other words, a function is a relation where each input has a unique output.

How do you determine if a relation is a function?

To determine if a relation is a function, you can use the vertical line test. If a vertical line can only intersect the graph of the relation at one point, then it is a function. You can also check if each input has a unique output; if so, then it is a function.

What is the difference between a one-to-one function and an onto function?

A one-to-one function is a function where each input has a unique output, and each output has a unique input. An onto function, also known as a surjective function, is a function where each element in the range is mapped to by at least one element in the domain.

How do you represent a function algebraically?

A function can be represented algebraically using function notation, where the input is denoted by x and the output is denoted by f(x). For example, if a function is represented as f(x) = 2x + 5, this means that for any input x, the output will be 2 times x plus 5.

What are the different types of functions?

There are several types of functions, including linear, quadratic, exponential, logarithmic, trigonometric, and polynomial functions. Other types of functions include piecewise functions, step functions, and inverse functions.

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