Help?

Is the following relation a function?

Question

Help?

Is the following relation a function?

anonymous · Answer

attachment

anonymous · Answer

yes or no

anonymous · Answer

@jagatuba

jagatuba · Answer

Well do you know what a function is?

anonymous · Answer

yes a little

jagatuba · Answer

Explain so I can know exactly what a little is.

anonymous · Answer

its like a machine you put in one number and it transforms it into another number using a preset rule.

jagatuba · Answer

Yes. That is a very good explanation.

anonymous · Answer

thats the best way i can put it

jagatuba · Answer

God how annoying was that. Site goes down right in the middle of explaining something.

jagatuba · Answer

Anyway ...

jagatuba · Answer

Let's look at the difference between a function and an equation and I think you will be able to answer this question.

Function:
f(x)=2x

Equation:
2x=12

What would the graph on the equation look like?

anonymous · Answer

sorry my computer was acting funny but i got the answer right thank you tho

anonymous · Answer

it was yes it is a function

jagatuba · Answer

Correct. Just to explain where I was going to anyone else who might come looking at this question (it does happen), I will graph the equation and the function I posted above.|dw:1389374359172:dw|
Where the equation has only one solution, the function can have infinite solutions. So the graph of an equation will always be a line (curved or straight) that stretches to infinity and has infinite points in-between. 

Therefore, the graph in the posted picture is a function. In fact, the function that is graphed is sin(3x)=1.

jagatuba · Answer

Excuse me that should have said "the graph of a function will always be a line..." Not equation.

anonymous · Answer

its okay and thank you again.

jagatuba · Answer

No problem. Alternate form of the function:$$\sin (3x)=1$$ is $$f(x)=\sin(\pi x)$$