The graph of function h is shown (in the picture) I'm fairly sure there supposed to connect, but they won't. Anyone know why?

[Original Equation: h(x) = {-x^2-6x-9 x<-2
{(1/3)^x -4 -2 ≤ x ≤ 2
{1/2x -4 x>2

Becca wants to mix fruit juice and soda to make a punch. she can buy fruit juice for $3 a gallon and soda for $4 a gallon. if she wants to make 28 gallons of punch at a cost of $3.25 a gallon, how many gallons of fruit juice and how many gallons of soda should she buy?