Find the Domain x=y^2

Problem

x=y2

Solution

1. Identify the independent and dependent variables. In the equation x=y2 x is expressed as a function of y However, to find the domain of a relation or function usually denoted as y=ƒ(x) we must determine the set of all possible input values for x

2. Analyze the relationship. The equation x=y2 indicates that x is the result of squaring a real number y

3. Determine the constraints on x Since the square of any real number y is always non-negative (y2≥0, it follows that x must be greater than or equal to zero.

4. Express the domain in interval notation. The values of x start at 0 and extend to positive infinity.

Final Answer

Domain:[0,∞)

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