solve this T/F questions!

QUESTION 1

If 13(32] is a polynomial such that 3312] has a simple root at 3: = 1, then P has a relative extremum at 3: = 1. Rolle's Theorem says that if f is a continuous function on [a, b] and f (a ) = f (b), then there is a point between a and b at which the curve y = f (@) has a horizontal tangent line.If a function / has an absolute minimum on (a, b), then there is a critical point of f at (a, b).Newton's Method uses the tangent line to y = f{m] at :I.' = In to compute In\". If f (a ) = 0 has a root, then Newton's Method starting at I = 1 will approximate the root nearest $1.Find all values of c that satisfy the conclusion of Rolle's Theorem for the function f(a) =p - on the interval [0, 1]. Select one: 0 -0.5 O -0.5 and 0.5 O 0 and 1 0 0.5