The domain of the exponential function is whole real line numbers. The range of an exponential function is only positive real numbers.
The domain of a function is a set of input (x) values in which the function is defined, and the range of a function is a set of output (y) values that a function takes.
Let an exponential function: f(x) = 2x, the domain of this function is whole real line numbers, and the range is only positive numbers on the real line. When y > 0, f(x) never take negative values and never approaches to zero.
Suppose we change the function by replacing x with –x. the domain and range do not change.
The domain of a function f(x) is the set of all values for which the function is defined.
If we have a negative exponential function: f(x) = - 2x, then the domain is the same (whole real line numbers), but the range is negative numbers because of y < 0.
In general, the basic exponential function y = ax, defined as ∞ to 0 when 0 < a < 1 and x varies from -∞ to ∞ and rises from 0 to ∞ as a >0.
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