I need solve this assignment of MAT 121 Calculus 1

Question 1: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. a. f(x) = x2 + 4x - 5, [-5, 1] b. f(x) = 2x2+3 x2-100' [-1,1] Question 2: Find the limit. Use I'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. If I'Hospital's Rule does not apply. a. lim * -1 x-1x3-1 b. lim sin (x) x+0x3-2x C. lim (=)x X -+00 Question 3: Find the intervals on which f is increasing or decreasing, and find the local maximum and minimum values of f (x). a. f(x) = 2x3 + x2 - 5x+10 b. f(x) = 3 5x2-10 3x-15 Question 4: Find the intervals on which f is concave upward or concave downward, and find the inflection points of f (x). a. f(x) = In(4x2-16x) b. f(x) = sin-1x