Thus, an exponential function can be in one of the following forms.
Further, it can also be of the form f(x) = p e kx, where 'p' is a constant. i.e., an exponential function can also be of the form f(x) = e kx. One of the popular exponential functions is f(x) = e x, where 'e' is " Euler's number" and e = 2.718.If we extend the possibilities of different exponential functions, an exponential function may involve a constant as a multiple of the variable in its power. 1.Ī basic exponential function, from its definition, is of the form f(x) = b x, where 'b' is a constant and 'x' is a variable. Let us learn more about exponential function along with its definition, equation, graphs, exponential growth, exponential decay, etc. When he asked his teacher about the same the answer he got was the concept of an exponential function.
He was thinking what would be the number of bacteria after 100 hours if this pattern continues. At every hour the number of bacteria was increasing. After the second hour, the number was four. After the first hour, the bacterium doubled itself and was two in number. He read that an experiment was conducted with one bacterium. Jonathan was reading a news article on the latest research made on bacterial growth. The exponential function is a type of mathematical function which are helpful in finding the growth or decay of population, money, price, etc that are growing or decay exponentially.
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