Activity Questions Question 1: For the function f ( x) 3x3 12 x , find all critical value(s) and determine whether each represents a relative maximum, relative minimum or neither. Then find the absolute extrema on the interval [-1,3]. Question 2: Use the Newton's method to approximate the real solution of x3 2 x 2 0 in the interval [1,2]. Question 3: Let f ( x) x3 x 1 . i) ii) Use the Intermediate value theorem to show that f ( x) has a root in the interval [0,1]. Starting at x0 1 , use the Newton's method to approximate this root. 1 sione.paea@usp.ac.fj Week 12 Homework Activity Semester 2 2016