4. Consider the curve with equation y = : x x + x + 1 Circle all the points on the curve where a tangent is horizontal. Please show rough work. 5. 32 A. (21) 3 27 B. C. D. (1,0) 34 (21) 3 27, (-1,0) True or False: If the answer is false explain why at the bottom of the page. a) The function and its derivative can have the different domains. b) To find the derivative of h(x) f(x) g(x) = you must use the Quotient Rule. d c) If and g are differentiable then f(g(x)) = f'(g(x))g'(x) dx d) If lim f(x) exists, then f(x) must have a horizontal asymptote. X118 e) It is possible that functions f and g are not continuous at x = a but the function f + g is continuous at x = a f) |x| = xif x 0 and |x| = -x if x < 0 g) If f'(x) = h'(x) for all x, then f(x) = h(x) for all x. h) If f(x) is degree 4 or higher, then f(x) must have an inflection point.