<image>The taxi fare method in a certain city is shown in the figure, with $$x(km)$$ representing the distance traveled and $$y($$yuan$$)$$ representing the fare. Please answer the following questions based on the graph:



$$(1)$$ What is the starting fare for the taxi? When $$x > 3$$, find the functional relationship between $$y$$ and $$x$$.

$$(2)$$ If a passenger's taxi fare is $$32$$ yuan, determine the distance traveled by the passenger.