This is an image I produced in Excel. It depicts two graphs; y = e^x, and y = e^-x. These two functions are important because they are used in my formula for velocity of the trash in the air.(See my previous post.) The first function, at x = 0, is equal to 1. As x increases, the function grows exponentially, because it is an exponent. The second function, since it is reciprocal, although starting with the same value of 1 at x = 0, decreases exponentially and by the time x reaches 3, for example, the value of the function falls approximately tenfold. This means that the value of the multiplicand in parentheses(basic formula of this experiment) will grow quickly.
Thursday, March 20, 2008
Theoretical Review Part 5: The Exponential Function
This is an image I produced in Excel. It depicts two graphs; y = e^x, and y = e^-x. These two functions are important because they are used in my formula for velocity of the trash in the air.(See my previous post.) The first function, at x = 0, is equal to 1. As x increases, the function grows exponentially, because it is an exponent. The second function, since it is reciprocal, although starting with the same value of 1 at x = 0, decreases exponentially and by the time x reaches 3, for example, the value of the function falls approximately tenfold. This means that the value of the multiplicand in parentheses(basic formula of this experiment) will grow quickly.
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