Find the average rate of change for the given function over the indicated values of $\backslash (\backslash$boldsymbol$\{$x$\}\backslash ).$ If necessary, round your final answer to two decimal places.

Remember to find the $\backslash ($ y $\backslash )-$value for each given value of $\backslash ($ x $\backslash ).$ Write as points and then, find the slope. There is an example of this problem in your guided notes.

$\backslash ($ f$($x$)=7$ x$^\{2\}+10$ x$+10\backslash ),$ where $\backslash ($ x $\backslash )$ goes from $4$ to $7.$