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 properties:
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 it will not be considered, while 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 exponential function graph is concave.
4. Functions always infinitely tend to a certain direction on the X axis and never intersect.
5. The function always passes (0, 1), (if so, the function has passed the point (0, 1+b)).