2. Let /(x) = -V8+ x (15 points) a. Find the linear approximation L(x) ata = 0 b. Use the linear approximation to approximate - VB.I c. Is your approximation in b over or under? Explain how you know. d. Use the linear approximation to approximate - V7.89 e. Is your approximation in d over or under? Explain how you know. 3. Let / (x) = 3x2+ 9x - 6 (22 points) a. State Rolle's Theorem b. Verify that the function satisfies the three conditions of Rolle's Theorem on the given interval [-2,0] c. Find all numbers c that satisfy the conclusion of Rolle's Theorem on the interval [-2,0] d. State the Mean Value Theorem c. Verify that the function satisfies the two conditions of Rolle's Theorem on the given interval [-1,0] f. Find all number c that satisfy the conclusion of the Mean Value Theorem on [-1,0] 4. Let g(x) = 4x3 + 6x2 - 72x + 5 (15 points) a. Find the intervals on which g is increasing or decreasing. Make sure to specify which intervals are increasing and which are decreasing. b. Find the local maximum and minimum values of g and where they occur. Make sure to specify which values are maximums and which values are minimums. c. Find the intervals of concavity. Make sure to specify on which intervals the function is concave up and on which the function is concave down