Chef Romero takes a dozen large eggs from a refrigerator and uses an even number of eggs in a breakfast dish. The function p(e) = 6e gives the number of grams of protein in Chef Romero’s breakfast dish containing e large eggs.

What is the theoretical domain of the function?

all real numbers
all real numbers except 0
all even numbers between 2 and 12, inclusive
all whole numbers between 1 and 12, inclusive

Question

Chef Romero takes a dozen large eggs from a refrigerator and uses an even number of eggs in a breakfast dish. The function p(e) = 6e gives the number of grams of protein in Chef Romero’s breakfast dish containing e large eggs.

What is the theoretical domain of the function?

all real numbers
       all real numbers except 0
       all even numbers between 2 and 12, inclusive
       all whole numbers between 1 and 12, inclusive

anonymous · Answer

:/

anonymous · Answer

@bibby @Ilovecake @Angel_Halo23

anonymous · Answer

@ganeshie8 @Gabylovesyou

anonymous · Answer

@Destinymasha

anonymous · Answer

@IMStuck

anonymous · Answer

@happpily @e.mccormick @esshotwired @girlover Can you help please?

e.mccormick · Answer

Well, if you look at a few things, you can get the answer.  First, it is asking about the domain, or input.  Second, it says "takes a dozen large eggs from a refrigerator and uses an even number of eggs in a breakfast dish." so what does that limit it to?

anonymous · Answer

12...

anonymous · Answer

c?

e.mccormick · Answer

Yah, c.  A dozzen means a max of 12 and it says even number so the lowest is 2.  You can't have -2 of something in a dish you make so all reals is out that way too.  1 is odd, 0 is not even.

anonymous · Answer

This goes with is too. 
What is the practical domain of the function? 

       all even numbers
       all whole numbers
       all even numbers between 2 and 12, inclusive
       all whole numbers between 1 and 12, inclusive

e.mccormick · Answer

Well, the added info there should be pretty obvious.

anonymous · Answer

A?

e.mccormick · Answer

Well, the practical domain means number that are more realistic.  In this case, I think they are the same...  in fact, I am not sure why they would make a difference betweent he domain and the practical domain in a question like this where it has very clear restrictions on the domain.

anonymous · Answer

So C?

e.mccormick · Answer

Yah. The first one, the theoretical domain, might actually be all reals. I found this page when looking up "practical domain." http://www.msad54.org/sahs/mathdept/cpmp/M3U3/m3u3page2.html Personally I am used to just dealing with the domain as one thing, not two. But that pages talks about it as two things.

anonymous · Answer

OK. I'm quite confused so...
1. A
2. C

e.mccormick · Answer

Yah, from reading that page it seems to be that.  The "theoretical domain" being "If this was just a math problem witn no real application, what could it be?" and the "practical domain" is the "Since this is the real world, how is this limited?"

At least based on the words theory and practice, plus that page, that would be it.

anonymous · Answer

I have three more that go with it... 
Here's the first one. 

What is the theoretical range of the function? 

       all real numbers
       all even numbers
       all multiples of 6 between 12 and 72, inclusive
       all multiples of 12 between 12 and 72, inclusive

anonymous · Answer

@e.mccormick