Exponential Function.


Posted in Functions & Graphs., Mathematics




Exponential Function:

Exponential function is the function which is defined by the following formula:

y=f(x)=ax

Where , a is a constant great than 0 and a , x both are real numbers.

In any exponential function defined by formula y=f(x)=ax,

“a” is said to be the base of exponential function “f” and “x” is the exponent of “a”.

Some Examples of Exponential Function:

a> if f:A→B is defined by f(x)=2x then “f” is exponential function of base 2. We can show this exponential function in graph as:

Graph of exponential function 2^x.

b. If g:A→B is a function defined by f(x)=1/2x then “f” is exponential function of base “1/2″ we can show this exponential function in graph as:

Graph of exponential function 1/2^x.



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