Chapter 9.7, Problem 10E

To determine

To calculate: The values of the function, $f\left(x\right)=\sec x$ and the polynomial, $P_2\left(x\right)=\sqrt{2}+\sqrt{2}\left(x-\frac{\pi }{4}\right)+\frac{3}{2}\sqrt{2}{\left(x-\frac{\pi }{4}\right)}^2$ for the table given below and graph the polynomial as well the function.

x	$-2.15$	$0.585$	$0.685$	$\frac{\pi }{4}$	$0.885$	$0.985$	$1.785$
$f\left(x\right)$	$-1.8270$	$1.1995$	$1.2913$	$1.4142$	$1.5791$	$1.8088$	$-4.7043$
$P_2\left(x\right)$