Find the Domain y=400x+2

Problem

y=400*x+2

Solution

1. Identify the type of function. The expression y=400*x+2 is a linear function, which is a specific type of polynomial function.

2. Check for restrictions. Polynomial functions do not contain any operations that restrict the input, such as division by zero (fractions with variables in the denominator) or taking the even root of a negative number.

3. Determine the set of all possible input values for x Since any real number can be multiplied by 400 and added to 2 the domain consists of all real numbers.

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

Final Answer

Domain:(−∞,∞)

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