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August 31st, 2011, 08:01 PM   #1
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I am a novice of pre-cal and having some problems with working out some problems

determine whether the equations represent (y) as a function of (x)

1. x squared + y squared = 4
2. y = the square root 16 - x squared
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September 1st, 2011, 06:25 AM   #2
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1. No (unless it's known that x = 2). If, say, x = 0, y is not uniquely determined, as it could be 2 or -2.
2. Yes, if the possible values of x are known or implied. For any value of x, the equation uniquely determines the value of y.
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