Find the Domain y=6^x

Problem

y=6^x

Solution

1. Identify the type of function. The given equation y=6^x is an exponential function with a constant base b=6 and a variable exponent x

2. Determine the restrictions on the input variable x For any exponential function of the form y=b^x 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. State the domain in interval notation. Since x can be any value from negative infinity to positive infinity, the domain is (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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