f is continuous if the graph is a single unbroken curve. f is continuous at some point c if c. f is a contin- uous function if it is continuous in every point of its domain. f is continuous at some point c if for every E > 0 there exists a δ > 0 such that for all e have that f is a continuous functio if this is true for every c in the domain. Given two metric spaces (X, dx) and (Y, d), a function f : X → Y is continuous at some point c if for every E > 0 there exists a δ > 0 such that for l r we have that dx(z,e< dy (f(r), f(c)) < e. f is said to be a cont inuous func- tion if this is true for every c in the domain X Given two topological spaces (X, Tx) and (Y, Ty) a function f : X → Y is continuous if for every open set V C Y the inverse image f(V) is an open subset of X.

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f is continuous if the graph is a single unbroken curve. f is continuous at some point c if c. f is a contin- uous function if it is continuous in every point of its domain. f is continuous at some point c if for every E > 0 there exists a δ > 0 such that for all e have that f is a continuous functio if this is true for every c in the domain. Given two metric spaces (X, dx) and (Y, d), a function f : X → Y is continuous at some point c if for every E > 0 there exists a δ > 0 such that for l r we have that dx(z,e< dy (f(r), f(c)) < e. f is said to be a cont inuous func- tion if this is true for every c in the domain X Given two topological spaces (X, Tx) and (Y, Ty) a function f : X → Y is continuous if for every open set V C Y the inverse image f(V) is an open subset of X.

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