SOLUTION: Determine whether the equation represents y as a function x A. x²+y²=4 B. x²+y²-2x-4y+1=0
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Question 1056495
:
Determine whether the equation represents y as a function x
A. x²+y²=4
B. x²+y²-2x-4y+1=0
Found 3 solutions by
josgarithmetic, ikleyn, MathTherapy
:
Answer by
josgarithmetic(39620)
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Neither.
x^2 and y^2 in both.
Answer by
ikleyn(52799)
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Determine whether the equation represents y as a function x
A. x²+y²=4
B. x²+y²-2x-4y+1=0
~~~~~~~~~~~~~~~~~~~~~~
Both cases have the same answer:
NO
.
Because in each case each value of "x" in the domain area determines TWO values of "y".
In order for "y" be the function of "x", each value of "x" must determine only ONE value of "y".
Answer by
MathTherapy(10552)
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Determine whether the equation represents y as a function x
A. x²+y²=4
B. x²+y²-2x-4y+1=0
Both equations represent CIRCLES, and circles are NOT functions as they fail the vertical line test.
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