Find the Domain y=|x-13|

Problem

y=|x−13|

Solution

1. Identify the type of function. The given expression is an absolute value function of the form y=|ƒ(x)| where ƒ(x)=x−13

2. Determine if there are any restrictions on the input x Absolute value functions are defined for all real numbers because the expression inside the absolute value, x−13 is a linear polynomial.

3. Check for potential constraints such as division by zero or square roots of negative numbers. Since there are no denominators or even-indexed roots, no such constraints exist.

4. Conclude that the variable x can take any real value.

Final Answer

Domain: *(−∞,∞)

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