Find the Domain y=x-2

Problem

y=x−2

Solution

1. Identify the type of function. The given equation y=x−2 is a linear function, which is a specific type of polynomial function.

2. Determine if there are any restrictions. For a function to have a restricted domain, there must be operations that are undefined for certain real numbers, such as division by zero or taking the square root of a negative number.

3. Analyze the expression x−2 Since there are no denominators containing x and no radicals with even indices, any real number can be substituted for x

4. State the domain in interval notation. Since all real numbers are valid inputs, the domain extends from negative infinity to positive infinity.

Final Answer

Domain=(−∞,∞)

Want more problems? Check here!