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THEOREM 1 Continuity Properties of Some Specific Functions (A) A constant function f(x) = k, where k is a constant, is continuous for all x. f(x) = 7 is continuous for all x. (B) For n a positive integer, f(x ) = x" is continuous for all x. f(x) = x' is continuous for all x. Use Theorem 1 to determine where each function in Problems 31. f(x) = 3x - 4 x+1 35. m(x) = x2 + 3x - 4 2x 37. F(x) x2 + 9