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Q: May remain in a prolonged exponential phase?
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When was exponential growth and decay invented?

They were not invented because they predated the first human beings. They existed at least millions of years before there was anyone to "invent" them.All novae produce radioactive elements and these decay exponentially. So exponential decay predates the formation of the solar system.I am not sure, but stellar fusion may be exponential. But, in any case, there are life forms on earth, like bacteria, that exhibit exponential growth. These bacteria, and therefore exponential growth, predate human beings by a few million years.They were not invented because they predated the first human beings. They existed at least millions of years before there was anyone to "invent" them.All novae produce radioactive elements and these decay exponentially. So exponential decay predates the formation of the solar system.I am not sure, but stellar fusion may be exponential. But, in any case, there are life forms on earth, like bacteria, that exhibit exponential growth. These bacteria, and therefore exponential growth, predate human beings by a few million years.They were not invented because they predated the first human beings. They existed at least millions of years before there was anyone to "invent" them.All novae produce radioactive elements and these decay exponentially. So exponential decay predates the formation of the solar system.I am not sure, but stellar fusion may be exponential. But, in any case, there are life forms on earth, like bacteria, that exhibit exponential growth. These bacteria, and therefore exponential growth, predate human beings by a few million years.They were not invented because they predated the first human beings. They existed at least millions of years before there was anyone to "invent" them.All novae produce radioactive elements and these decay exponentially. So exponential decay predates the formation of the solar system.I am not sure, but stellar fusion may be exponential. But, in any case, there are life forms on earth, like bacteria, that exhibit exponential growth. These bacteria, and therefore exponential growth, predate human beings by a few million years.


Does an equation tell the whole story?

No. An equation can remain unanswered, it may be incomplete and it may be inaccurate.


What is the mathematics term for scientific notation?

The term you may be referring to is "exponential". For example, 98 (9 to the 8th power) is scientific notation, or "exponential". 98 = 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9, which = 43,046,721


What happens to the range as the domain increases and decreases?

The range may increase or decrease with the domain or it may remain the same.


What is the difference between significant figures and exponent notations?

Significant figures is a way of trying to convey how accurately something is being measured. A very accurate scale may measure .001 grams, a bathroom scale may be only accurate to within 2 lbs. Exponential notation has nothing to do with measurement. It is just a choice on how to write a number, usually for some mathematical application. 243 = 35 this is exponential 'notation'. Scientific notation is a certain type of exponential notation in which the base must be 10. 243 = 2.43 x 102 that is scientific notation.