Find the Domain y=0.2x^2-0.5+1

Problem

y=0.2*x2−0.5*x+1

Solution

1. Identify the type of function. The given equation y=0.2*x2−0.5*x+1 is a quadratic function, which is a specific type of polynomial function.

2. Determine if there are any restrictions. Polynomial functions do not contain square roots of negative numbers, logarithms of non-positive numbers, or divisions by zero.

3. Conclude the domain. Since there are no values of x that make the expression undefined, the function is defined for all real numbers.

Final Answer

Domain: *(−∞,∞)

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