Find the Domain y=2x^2-12x+14

Problem

y=2*x2−12*x+14

Solution

1. Identify the type of function provided. The expression 2*x2−12*x+14 is a polynomial function, specifically a quadratic.

2. Check for restrictions such as denominators that could be zero or square roots of negative numbers. Since there are no fractions or radicals involving the variable x there are no values that make the expression undefined.

3. Determine the domain based on the properties of polynomials. Polynomials are defined for all real numbers.

4. Express the domain in interval notation, representing the set of all real numbers from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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