Find the Domain y=2x+1

Problem

y=2*x+1

Solution

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

2. Analyze the expression for restrictions. For a domain to be restricted, there must be operations like division by zero, square roots of negative numbers, or logarithms of non-positive numbers.

3. Determine the possible values for x Since there are no denominators, radicals, or logarithms in the expression 2*x+1 any real number can be substituted for x to produce a real value for y

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

Final Answer

Domain:(−∞,∞)

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