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range - avidkouch lyrics

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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!

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