Answer
See the table below.
Work Step by Step
$ \left[\begin{array}{llllll}
& & & \mathrm{f}(\mathrm{x})=(\mathrm{x}^2)/2 & & \frac{f(a+h)-f(h)}{h}\\
& & & & & Avg.rate.\\
\mathrm{a} & h & a+h & f(a+h) & f(a) & of.change\\
& & & & & \\
1 & 1 & 2 & 2 & 0.5 & 1.5\\
1 & 0.1 & 1.1 & 0.605 & 0.5 & 1.05\\
1 & 0.01 & 1.01 & 0.51005 & 0.5 & 1.005\\
1 & 0.001 & 1.001 & 0.5010005 & 0.5 & 1.0005\\
1 & 0.0001 & 1.0001 & 0.500100005 & 0.5 & 1.00005
\end{array}\right]$
