Is the function continuous for all x ? If not, say where it is not continuous and explain in what way the definition of continuity is not satisfied. f ( x ) = O f(x) is continuous for all x because f(x) is defined at x = 9 and lim f (x) = 1. x-9 O f(x) is continuous for all x because f(x) is defined for all x and lim f (x) = 0. x-0 O f(x) is not continuous for all x because f(x) is not defined at x = 9 and lim f (x) does not exist. x-9 O f(x) is continuous for all x because f(x) is defined for all x and lim f (x) = 9. x-0 O f(x) is not continuous for all x because f(x) is not defined at x = 0 and lim f (x) does not exist. x-0