Find the Domain y=|x-8|-2

Problem

y=|x−8|−2

Solution

1. Identify the type of function. The given equation y=|x−8|−2 is an absolute value function.

2. Analyze the expression for any restrictions. The domain of a function is the set of all possible input values (x for which the function is defined.

3. Check for division by zero. There are no denominators containing x in this expression.

4. Check for even roots of negative numbers. There are no square roots or other even roots in this expression.

5. Determine the domain. Since absolute value is defined for all real numbers, there are no restrictions on x

6. Express the domain in interval notation. The set of all real numbers is represented as (−∞,∞)

Final Answer

Domain: *(−∞,∞)

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