domain of exponential function
The domain of an exponential function is the set of all real numbers for which the function is defined
The domain of an exponential function is the set of all real numbers for which the function is defined.
For the general exponential function written in the form f(x) = a^x, where ‘a’ is a positive constant, the domain is all real numbers. This means that the function can be evaluated for any real value of ‘x’.
However, if the exponential function is expressed as f(x) = a^x, where ‘a’ is a positive constant and x is restricted to a specific interval or set of values, then the domain will be limited to that interval or set of values.
It is important to note that the value of ‘a’ cannot be zero or a negative number, as raising a non-positive number or zero to any power will result in undefined values. Additionally, the domain of the exponential function does not include complex numbers, as it is only defined for real numbers.
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