Science:Math Exam Resources/Courses/MATH102/December 2016/Question B 01/Statement

The zeros of the quartic function $f(x)$ are labeled from $z_{1}$ to $z_{4}$, running left to right. Using Newton’s method, starting at the points $x_{0}=A,B,C,$ and $D$ (black dots), which zero will be found? Several relevant tangent lines have been provided (dashed lines).