Write as a Function of x x=y^2

Problem

x=y2

Solution

1. Identify the goal, which is to solve for y in terms of x to express the relation as a function y=ƒ(x)

2. Apply the square root to both sides of the equation to isolate y

3. Consider the definition of a function. Since y2=x implies y=±√(,x) the relation is not a single function unless the domain or range is restricted.

4. State the result as the two possible branches of the relation.

Final Answer

y=±√(,x)

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