Find the Domain y=3x^2+8

Problem

y=3*x2+8

Solution

1. Identify the type of function. The given equation y=3*x2+8 is a polynomial function, specifically a quadratic function.

2. Determine if there are any restrictions. For a function to have a restricted domain, there must be potential operations that are undefined, such as division by zero or taking the square root of a negative number.

3. Analyze the expression for restrictions. Since there are no denominators containing x and no radicals with even indices containing x the variable x can take any real number value.

4. State the domain in interval notation. Because x can be any real number, the domain extends from negative infinity to positive infinity.

Final Answer

Domain: *(−∞,∞)

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