Find the Domain y=2x^2-5x+4

Problem

y=2*x2−5*x+4

Solution

1. Identify the type of function. The given equation y=2*x2−5*x+4 is a polynomial function, specifically a quadratic function.

2. Determine if there are any restrictions on the input variable x Polynomials do not contain square roots of negative numbers, divisions by zero, or logarithms of non-positive numbers.

3. Conclude that since there are no mathematical restrictions, the function is defined for 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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