Range

By AvidKouch

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[Intro]

Range: another name for the codomain

Range: or even the image is what you might say

Range: the possible output values of a function, hey

Range: the ambiguity will never go away


[Verse 1]

The inputs are the domain and the outputs are the range

Depending on the function both the D&R may change

But there's an important concept that you need to grasp

Both the image and the codomain

Can be described by saying "range"

Codomain is all that can be mapped to

Image is a bit strange

That is all that it is mapped to, hey, hey, hey


[Bridge]

Domain, image, range and codomain

They are not all the same thing

They are all quite related, however

In the future, all ambiguity may be gone

And from then it will always last forever


[Verse 2]

If we have a function map: f: X->Y

Don't worry, you will not need to sigh when

You learn you can identify the domain and range (in the codomain sense)

X is the domain, Y is the codomain

How 'bout the image? That's a harder one to answer

I truly don't believe it's possible, however

We can just ignore the image for now

Until you take college-level linear algebra


[Bridge 2]

Range, image, codomain

They may be similar, hey

But they are not all the same

You only need to know which is which

Not quite solve for them until you get rich

And will be able to pay for college

And have to take linear algebra for a living


[Outro]

RANGE! NOT CODOMAIN! NOT EVEN IMAGE!

WHAT I SAID WAS RANGE!