Exponential function is one of the important basic elementary functions. In the definition expression of exponential function, the coefficient before ax must be the number 1, and the independent variable x must be in the position of exponent, and it cannot be any other expression of x, otherwise it is not an exponential function.
Exponential function is an important function in mathematics. This function applied to the value e is written as exp(x). It can also be written as ex, where e is a mathematical constant and the base of natural logarithm, which is about equal to 2.7 1828 1828, also known as Euler number.
Extended data:
Basic nature:
1, the domain of exponential function is r, where the premise is that a is greater than 0 and not equal to 1. For the case that A is not greater than 0, it will inevitably make the definition domain of the function discontinuous, so we will not consider it, and the function with A equal to 0 is meaningless and generally will not be considered.
2. The range of exponential function is (0, +∞).
3. The function graph is concave.
4. When a> 1, the exponential function increases monotonically; If it is 0
5. Functions always infinitely tend to a certain direction on the X axis and never intersect.
6. Exponential function is unbounded.
7. Whether the exponential function is odd or even.
8. Exponential functions have inverse functions, which are logarithmic functions and multi-valued functions.
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