Science:Math Exam Resources/Courses/MATH102/December 2015/Question 11/Statement

Consider each of the labeled points (solid dot) on the graph of $f(x)$ as a starting point for Newton’s method. To which zero of the function $f(x)$ (empty dots $Z_{1}$ ,$Z_{2}$ , or neither) will Newton’s method converge for each one? You may assume that the graph of the function continues off the edges of the graph with no significant change in direction.