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Some of the characteristics of such a function are:The function is continuous (it doesn't make sudden jumps)The derivative is continuous (the function doesn't suddenly change its direction)The function is unbounded - as "x" grows larger and larger, f(x) approaches either plus or minus infinity (i.e., it grows without bounds).In the complex numbers, any polynomial has at least one zero.
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In the long term, a quantity that grows exponentially will ALWAYS get larger, eventually, than a quantity that grows linearly, quadratically, or in fact, than any polynomial - basically, a quantity raised to any finite power, such as x cubed, x to the 20th power, etc.
sugar can be found naturally in almost all fruits and in a tall, fibrous plant called sugar cane. It also grows naturally in its crystal form on certain types of rocks.