Find the Domain y=0.5x+1

Problem

y=0.5*x+1

Solution

1. Identify the type of function. The given equation y=0.5*x+1 is a linear function, which is a type of polynomial function.

2. Check for restrictions. In a polynomial function, there are no denominators containing variables (which could lead to division by zero) and no even-indexed roots (which could lead to imaginary numbers).

3. Determine the set of all possible input values. Since any real number can be multiplied by 0.5 and added to 1 the variable x can be any real number.

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

Final Answer

Domain:(−∞,∞)

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