domain of exponential function
The domain of an exponential function depends on the specific equation or expression given
The domain of an exponential function depends on the specific equation or expression given. In general, exponential functions are defined for all real numbers as the base of the exponential term is typically positive.
For the most common exponential function, f(x) = a^x, where a is a positive constant called the base, the domain is (-∞,∞). This means that the function is defined for all real numbers.
However, there are certain cases where the domain might be restricted. For example, if you have an exponential function with a variable in the exponent, such as f(x) = a^x+b, the domain might be determined by any additional restrictions given, such as avoiding negative values or non-real solutions.
It is important to carefully analyze each specific exponential function you encounter to determine its precise domain.
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