Find the Domain and Range y=x^2

Problem

y=x2

Solution

1. Identify the type of function. The equation y=x2 is a quadratic function, which is a polynomial.

2. Determine the domain. Since there are no square roots of negative numbers or divisions by zero, the input x can be any real number.

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

4. State the intervals. The domain is all real numbers, and the range is all non-negative real numbers.

Final Answer

Domain: *(−∞,∞), Range: *[0,∞)

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