Is relation t a function? Is the inverse of relations t a function?

Relation t

x 0 2 4 6
y -8 -7 -4 -4

Question

Is relation t a function?  Is the inverse of relations t a function?

Relation t

x	0	2	4	6
y	-8	-7	-4	-4

anonymous · Answer

A. Relation t is a function. The inverse of relation t is not a functions. 	
  B. Relation t is not a function. The inverse of relation t is a function. 	
  C.
Relation t is not a function.  The inverse of relation t is not a function.

anonymous · Answer

@UsukiDoll

usukidoll · Answer

ok so to determine a function we use the vertical line test for a graph. Similarly we use 
a horizontal line test for a graph to determine a one to one function. 

but this time we don't have a graph. Instead we have a chart. 

This may be a while back since I've last did charts though
If I remembered correctly the function must have the x not repeating and the one to one function (inverse) must have the y not repeating

anonymous · Answer

So A?

usukidoll · Answer

yeah... I'm still trying to remember though... this was way back in 2008 when I did this.

anonymous · Answer

Any help is better than no help

usukidoll · Answer

ok... now I got my memory back after I read a paragraph somewhere .. we can't have duplicates for x or y

anonymous · Answer

So the answer is still A, correct?

usukidoll · Answer

there's an example in my book somewhere.. I have to find it before giving out an answer.

anonymous · Answer

ok, ill wait

usukidoll · Answer

ok that was mapping and proofs. It's too strong for this problem... but I do know that we can't have anything repeating

anonymous · Answer

Im gonna go with A than because the top row isn't repeating

usukidoll · Answer

the original function has a repeated value for y though..

anonymous · Answer

So c?

astrophysics · Answer

Well for it to be a one - to - one function the x and y values are to be used only once. So if you can switch the x and y variables around to create a inverse relation, we would notice function t would not be a one - to - one function since there are two of the same y values, then we can conclude the inverse is not a function.

usukidoll · Answer

if we switch.. that would mean that there exists x values that are repeating.

anonymous · Answer

So it's C @Astrophysics

usukidoll · Answer

Ok I'm seeing this horizontally .. I'm going to draw vertical |dw:1435810073365:dw|