Please help me answer these 3 multiple choice questions!

Which of the following functions satisfies all the condition of Rolle's Theorem on the interval [0, 2] ? Oy = tan(xx) +x - r Ov= x- 1 O 1/ = sin(wx) + x3 - 2 O y = sin(mx) + x - 2x Question 6 Suppose that f(x) is a differentiable function, with f'(z)=Inx-sin(x-1) . What happens to the function f(x) at = =1 ? Of(x) is decreasing at =1 . Of(x) is increasing at =1 . Of(x) has a local maximum at z=1 - Of(x) has a local minimum at = =1 - Question 7 Suppose that a is a positive number. How many critical points (if any) does the function A(2) = - I have? Your answer should be an integer. (Note that a critical point must be in the function's domain!)