Rolle’s theorem states: Suppose that y = f(x) is continuous at every point of the closed interval [a, b] and differentiable at every point in the open interval (a, b). If f(a) = f(b) then there is at least one number c in (a, b) where f'(c) = 0
Why is it important that the function be differentiable in the interval? What can happen if the function is not differentiable that might make the conclusion untrue?

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Luke started a weight-loss program. the first week, he lost x pounds. the second week, he lost pounds less than times the pounds he lost the first week. the third week, he lost 1 pound more than of the pounds he lost the first week. liam started a weight-loss program when luke did. the first week, he lost 1 pound less than times the pounds luke lost the first week. the second week, he lost 4 pounds less than times the pounds luke lost the first week. the third week, he lost pound more than times the pounds luke lost the first week.

State one method by which you can recognize a perfect square trinomial.