Find the Domain y=4^x

Problem

y=4

Solution

1. Identify the type of function. The given equation y=4 is an exponential function where the base is a positive constant (4 and the exponent is the variable x

2. Determine the restrictions on the input variable x For any exponential function of the form y=bx where b>0 the exponent x can be any real number.

3. Analyze the behavior of the function. There are no values of x that would result in division by zero or the square root of a negative number.

4. Conclude that the domain consists of all real numbers, which can be expressed in interval notation.

Final Answer

Domain:(−∞,∞)

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