Answer
The irrational number e is approximately equal to 2.72. The function \[y={{e}^{x}}\ \text{or}\ f\left( x \right)={{e}^{x}}\] is called the natural exponential function.
Work Step by Step
The symbol e is an irrational number and its value is not exactly equal to 2.72 this is an approximate value same as the value of the mathematical symbol\[\pi \].
Exponential functions are similar as that of the simple functions but the major difference in simple functions and the exponential functions is that in case of exponential function variable is there in the power rather than in base.
In general the exponential function is represented by\[y={{b}^{x}}\]
If base b in the above function\[y={{b}^{x}}\] is replaced by e then the exponential function is referred as natural exponential function and natural exponential function is represented by\[y={{e}^{x}}\].
