Show that f is continuous on (−∞, ∞). f(x) = 1 − x2 if x ≤ 1 ln(x) if x > 1 on the interval (−∞, 1), f is correct: your answer is correct. function; therefore f is continuous on (−∞, 1). on the interval (1, ∞), f is correct: your answer is correct. function; therefore f is continuous on (1, ∞). at x = 1, lim x→1− f(x) = lim x→1− incorrect: your answer is incorrect. = incorrect: your answer is incorrect. , and lim x→1+ f(x) = lim x→1+ incorrect: your answer is incorrect. = incorrect: your answer is incorrect. , so lim x→1 f(x) = incorrect: your answer is incorrect. also, f(1) = incorrect: your answer is incorrect. thus, f is