Find the Domain y=0.3x^2+0.5x+1

Problem

y=0.3*x2+0.5*x+1

Solution

1. Identify the type of function. The given equation is a quadratic function, which is a specific type of polynomial.

2. Analyze the expression for restrictions. Polynomial functions do not contain square roots of negative numbers, divisions by zero, or logarithms of non-positive numbers.

3. Determine the set of possible input values. Since there are no mathematical constraints on the variable x the function is defined for all real numbers.

4. Express the domain in interval notation. The set of all real numbers is represented as the interval from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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