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**realintegerz** 1) How can a graph be used to find the inverse of a function?

reflect the function in the line y = x to get the inverse function

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2) Do all functions have inverses? (I believe the answer is yes, but they are not necessarily functions)

no

if they are not necessarily functions it would mean that an inverse function does not always exist, right? :p

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3) What does it mean for two functions to be inverse of each other?

if f(x) and g(x) are real valued functions that are inverses of each other, then f(g(x)) = g(f(x)) = x

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4) How can you use algebra to determine if an inverse function exists?

switch x and y and solve for y

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5) How can you determine if an inverse function exists when given a graph of a function?

check if it is one-to-one and onto

do you know what the inverse function does?

all this is information you could easily find by doing a web-search, by the way