In general, an equation of the form , where a ≠ 0, b > 0, and b ≠ 1, is called an exponential function with base b.
The standard form of an exponential function is .
For , the function is defined for all real values of x. Therefore, the domain is
.
The range of is dependent on the sign of a.
To find the range of , start with
, since the definition of exponential function.
The function is .
Compare the equation with standard form of an exponential function is
.
The domain of is
.
The domain of the function is
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Graph :
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