What is the domain of definition of an exponential function

Exponential function domain

Exponential function domain is R. Here the premise is a greater than 0 and not equal to 1. For a not greater than 0, the function must make the definition of the domain of the discontinuous, so we do not take into account, and at the same time, a is equal to the function of the meaninglessness of the function of 0 is generally not taken into account.

Exponential function is one of the important basic elementary functions. In general, y = a function (a is a constant and to a & gt; 0, a ≠ 1) is called the exponential function, the function of the definition of the domain is R. In the definition of the exponential function of the expression, the coefficient in front of a must be the number of 1, the independent variable x must be in the position of the exponent, and can not be any other expression of x. Otherwise, it is not an exponential function.

Exponential function has an obvious law, is when a from 0 tends to infinity in the process (not equal to 0) function of the curve from the position of monotonous decreasing function, respectively, close to the positive half-axis of the y-axis and the x-axis, tends to be close to the positive half-axis of the y-axis and the negative half-axis of the x-axis of the monotonous increasing function, respectively, the position. Where the horizontal line y = 1 is a transition position from decreasing to increasing. When the index is negative, generally first inverted bottom, that is, first the bottom number into the inverse and the index of the superwill its opposite.

What is the domain of definition of an exponential function?

For an exponential function

y = aˣ (a > 0 and a ≠ 1)

The domain of definition is R.

If it’s a function of the exponential type