If ƒ is continuous for a < x < b and differentiable for a < x < b , which of the following could be false? (A) f'(c) = f (b) – f(a) for some c such that a < c < b. b- a (B) f'(C)=0 for some c such that a < c < b . (C) ƒ has a minimum value on a < x < b . (D) ƒ has a maximum value on a < x < b .

The function f is continuous for all real numbers and has first derivative function graphed below. Note: The dashed lines indicate vertical asymptotes on the graph. A B C y f'(x) DE F Indicate whether each of the x-values is a critical point or not of the function f. Then classify it as either a local maximum, a local minimum, or neither using the first derivative test. X = A is a ---Select--- of f and ---Select--- ✓of f of f of f x = B is a x = C is a x = 0 is a x = D is a x = E is a ---Select--- ---Select--- ---Select--- ---Select--- ---Select--- of f and ---Select--- ✓of f and ---Select--- of f and ---Select--- of f and ---Select--- of fand ---Select--- of f ✓of f of f x = F is a ---Select--- of fand ---Select--- of f