SOLUTION: Can you please help me on this question: 1)State whether the relation is a function and give the domain and range. a) x=y^2+6

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Question 204213: Can you please help me on this question: 1)State whether the relation is a function and give the domain and range.
a) x=y^2+6

Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
(x-6) = y^2
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a rough sketch shows this to be an x parabola. opening to right, with vertex at (6,0)
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This is a relation,,but not a function. For each value of x, there is a +/- value of y, and it would fail the vertical line test.
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Domain is,,,,[6,infinity),,,that is 6<=x .
Range is,,,,(- infinity,+infinity),,,that is -infinity