Find the Domain y=3^x

Problem

y=3

Solution

1. Identify the type of function. The expression y=3 is an exponential function where the base is a positive constant (3 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. Evaluate for potential undefined values. There are no denominators that could be zero and no even roots of negative numbers.

4. Conclude that the function is defined for all real numbers from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

Want more problems? Check here!