Find the Domain (-3/4)x^2

Problem

ƒ(x)=−3/4*x^2

Solution

1. Identify the type of function. The expression ƒ(x)=−3/4*x^2 is a polynomial function, specifically a quadratic function.

2. Check for restrictions. Polynomials do not contain any operations that restrict the input, such as division by zero (denominators containing variables) or taking the square root of a negative number.

3. Determine the set of all possible input values. Since any real number can be squared and multiplied by a constant, 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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