Chapter 11.2, Problem 17E

To determine

To graph: The appropriate tangent lines of a function $f\left(x\right)$ and the numerical values of $x_1$ and $x_2$, where, $x_1$ and $x_2$ be the estimate of a root of $f\left(x\right)$ obtained by applying the Newton-Raphson algorithm using an initial approximation of $x_0=5$ and the graph of the function $f\left(x\right)$ is given as follows,