Find the Domain e^x

Problem

ex

Solution

1. Identify the type of function. The expression ex is a basic exponential function where the base e is a constant (approximately 2.71828.

2. Analyze the constraints of the exponent. For an exponential function of the form bx where b>0 the exponent x can be any real number.

3. Determine if there are any values of x that would result in an undefined expression, such as division by zero or taking the square root of a negative number. There are no such restrictions for ex

4. Conclude that the function is defined for all real numbers.

Final Answer

Domain of *ex=(−∞,∞)

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