Question 1102927
Because f(x) = f(-x) (f is an even function), I is automatically true, and III is false. II depends on the domain of the function, and whether 
it is continuous over that domain.  In general, it is NOT true.  (Take {{{f(x) = 10 + 1/x^2}}}, which is continuous over its domain R\{0}, but has the 
vertical asymptote x = 0.)