No. y = 1/x is continuous but unbounded.
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A main function must be present in every C program.
Every C plus plus program that is a main program must have the function 'main'.
I don't use that function in C programme.
Every non-static member function has a hidden pointer parameter named this which refers to the instance of the class the function was invoked against. For a given class, C, the type of the hidden this pointer is const C* but if the function is declared const, the pointer is const C* const. When referring to any class member, m, from within any non-static member function, this->m is implied.
The c language does not have template functions. That is a c++ thing.