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The equation below represents a function: y² = 4(x - 2)². Is it True or False?

A) True
B) False

User Esope
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1 Answer

4 votes

Final answer:

The equation y² = 4(x - 2)² is not a function because there can be two values of y for a single x, hence the answer is False.

Step-by-step explanation:

The given equation y² = 4(x - 2)² is not a function because for a given value of x, there can be two different values of y (one positive and one negative), which violates the definition of a function that for each x, there must be exactly one y. In more formal terms, a relationship is a function if and only if each x-value is paired with exactly one y-value. Since the equation does not meet this criterion, the correct answer is False.

User Alvis
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