Chapter 1.2, Problem 3E

Box Office Hits The table below shows the highest grossing movie of the given year. The amount is the domestic box office gross, in millions of dollars.

$\text{Year}$	$\text{Movie}$	$\begin{array}{l}\text{Amount}\\ \left(\text{millions}\right)\end{array}$
$2006$	Pirates of the Caribbean: Dead Man’s chest	$423.32$
$2007$	Spider-Man 3	$336.53$
$2008$	The Dark Knight	$533.35$
$2009$	Avatar	$760.51$
$2010$	Toy Story 3	$415.00$
$2011$	Harry Potter and the Deathly Hallows: Part 2	$381.01$
$2012$	The Avengers	$623.28$
$2013$	The Hunger Games: Catching Fire	$424.67$
$2014$	American Sniper	$350.13$

Let $M=M\left(y\right)$ denote the highest grossing movie in year $y$, and let $B=B\left(y\right)$ denote the gross for that movie.

a. Give the values of $M\left(2014\right)$ and $B\left(2014\right)$.

b. Use the functional notation to indicate the amount for the movie with the highest gross in $2013$.