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in this video were going to talk about two special sets related to functions so we have a function f from A to B and recall that a is called the domain its the set of all inputs and B is called the codomain all of the outputs are in B so if we take a subset lets say capital X of a so X is a subset of a and we look at F of the actual set so this is the notation we use so its F of the set this is equal to okay this is the set of all Y values such that Y is equal to F of a where little a is in capital X okay this is called the image of X under F so this is the image of X under F and let me show you what it looks like graphically so you understand what it is its all of the Y values that come from X let me draw a picture so here is a this will be our domain and then here is B this will be our codomain okay so were looking at X so X is a subset of a so Ill draw it here so this purple set here is capital X so the purple is capital X so Ill put a big X here alright so then we take an
