If fungoes are a ball tossed into the air by a batter and then struck as it comes down then a fungo bat is a baseball bat used for hitting fungoes. To go into more detail, a fungo bat is a long, lightweight baseball bat used by coaches (or parents) during pregame hitting or practice to help them hit grounders and pop flys with more consistency and less fatigue. To be one of the best in baseball, countless hours of practice are a must and fungo bats are intended for both infield and outfield practice. Plus, they help tremendously with control and accuracy so that coaches and parents can place a ball where they want when they want. 
On June 17, 1890, Emile Kinst patented the ball-bat, or banana bat. The bat is shaped with a curve, hence the name banana bat. The creator of the bat, Kinst wrote: "The object of my invention is to provide a ball-bat which shall produce a rotary or spinning motion of the ball in its flight to a higher degree than is possible with any present known form of ball-bat, and thus to make it more difficult to catch the ball, or if caught, to hold it, and thus further to modify the conditions of the game".
Manufacturers position each bat's label over the mechanically weaker side of the wood.[9] To reduce chance of fracture,[9] and maybe deliver more energy to the ball,[10] a bat is intended to be held so the label faces sky or ground when it strikes the ball during a horizontal swing.[9] In this orientation, the bat is considered stiffer and less likely to break.[11]
Baseball bats are made of either wood, or a metal alloy (typically aluminum). Most wooden bats are made from ash. Other woods include maple, hickory, and bamboo. Hickory has fallen into disfavor over its greater weight, which slows down bat speed, while maple bats gained popularity[5] following the introduction of the first major league sanctioned model in 1997. The first player to use one was Joe Carter of the Toronto Blue Jays.[6] Barry Bonds used maple bats the seasons he broke baseball's single-season home run record in 2001, and the career home run record in 2007.[6] In 2010, the increased tendency of maple bats to shatter has caused Major League Baseball to examine their use, banning some models in minor league play.[7][8]
The origin of the word "fungo" is unknown and argued upon as there are many possible options as to the origins of this unique word. It is assumed by many to be derived from the Scottish word fung meaning to pitch, toss, or fling. This would make sense, as fungo bats are designed to do just that. Or, the alternative to this origin is that fungo comes from 1937 where David Shulman, writer for the American Speech, said, "My guess is that the word, which is baseball slang, may be explained through the elements of a compound word, fun and go." Lastly, a third belief is that the word fungo comes from an old game, similar to that of baseball, where the players used to chant, "One go, two goes, fun goes." 

Maple bats in particular were once known (circa 2008) to potentially shatter in a way that resulted in many sharp edges, sometimes creating more dangerous projectiles when a bat broke.[9][13] Maple bat manufacture evolved significantly, in cooperation with Major League Baseball,[11] paying special attention to grain slope, and including an ink spot test to confirm safest wood grain orientation.[11]
Fungo bats typically weigh between 17 to 22 ounces and may be as long as 37 inches, making them longer than most bats used for hitting. According to Pro Bats, a typical professional baseball player uses a bat that is about 34 inches long and weighs about 32 ounces, although there is considerable variation. Fungo bats not only are longer than regular bats, they also are skinnier. Like regular bats, fungo bats can be made of metal or wood.
This sounds like a lot of information, but with a little practise on the coaches part, it runs quite smoothly. Two to three reps per player in the field per section is quite adequate, and with 14 men on the field, this whole routine should take about 7 minutes. It's quite snappy, and quite impressive. I had many a parent marvel to me after witnessing it - "you look like a professional team!" I wouldn't try the routine with anything less than a 14 yr old select team, but with the talent to do it right, it's fantastic.
A rounded, solid wooden or hollow aluminum bat. Wooden bats are traditionally made from ash wood, though maple and bamboo is also sometimes used. Aluminum bats are not permitted in professional leagues, but are frequently used in amateur leagues. Composite bats are also available, essentially wooden bats with a metal rod inside. Bamboo bats are also becoming popular.
Secondly, the first base fungo hits balls to the third baseman, who turns a double play with the second baseman to the normal first baseman, while the third base fungo hits balls to the shortstop, who throws to a shortened deep firstbaseman (this means that the deep firstbaseman stands closer to the shortstop than normal, so that the throw across this infield is the correct distance - this does NOT mean that the deep man stands any closer to the normal first base position - this length should always be sufficient)
Fungo bats are typically only used by coaches, to consistently place grounders and pop flies to their fielders for practice purposes. And with a fungo bat in their hands, some coaches can pull off wicked accuracy – as one story goes, the late California Angels player and coach Jimmie Reese once shot an 82 on an 18-hole golf course using nothing but a putter and a fungo bat.