Question 7 (10 points) Let g be a continuous function on the interval [-1, 1], and differentiable on (-1, 1). If g(-1) = -2 and g(1) = 4, which of the following statements could be false? There exists C E (-1, 1) such that g(c) = 0. There exists C E (-1, 1) such that g'(c) = 0. There exists C E (-1, 1) such that g(c) = 3. There exists c E (-1, 1) such that g'(c) = 3. There exists c E [-1, 1] such that g(c) 2 8(x) for all x E [-1, 1]. Previous Page Next Page Page 7 of 10