Find the Domain and Range x^2

Problem

ƒ(x)=x2

Solution

1. Identify the type of function. The expression ƒ(x)=x2 is a polynomial function (specifically a quadratic function).

2. Determine the domain. Since there are no denominators that could be zero and no square roots of negative numbers, the function is defined for all real numbers.

3. Determine the range. Since any real number squared results in a value that is greater than or equal to zero, the output ƒ(x) cannot be negative.

4. Identify the vertex. The vertex of the parabola is at (0,0) which represents the minimum value of the function.

Final Answer

Domain: *(−∞,∞), Range: *[0,∞)

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