Aaron C.
asked • 02/07/15Determine the graph of each function.
For each of the equations below, determine algebraically if the graph of that equation is symmetric with respect to x-axis, y-axis, and origin.
(a) x2+1/x3 = y2
(b) lxl x3 = ³√y
(a) x2+1/x3 = y2
(b) lxl x3 = ³√y
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1 Expert Answer
Barbara H. answered • 02/07/15
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(a) X^2 +1/X^3 = Y^2
(b) [X] X^3 = 3\/Y is this what you mean for these problems?
Aaron C.
Yea, sorry all of the large 2's and 3's are meant to be exponents
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02/07/15
Barbara H.
X^2 + 1/X^3 = Y^2
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02/08/15
Barbara H.
X^2 + 1/X^3 = Y^2
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02/08/15
Barbara H.
X^2 + 1/X^3 = Y^2
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02/08/15
Barbara H.
X^2 + 1/X^3 = Y^2 X = 1 Y = \/2 X = -1 Y = 0 X = -2 Y = \/2 (\/ = square root)
This equation is not symmetrical at the X axis, Y axis and origin. It is only symmetrical at X = -1. Plot the points
and see for yourself.
[X]X^3 = 3\/Y X = 0 Y = 0 X = 1 Y = 1/3 X = -1 Y = -1/3 (\/ = square root)
This equation is symmetrical at the X axis, Y axis and origin. plot the points and see.
Report
02/08/15
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Michael J.
02/07/15