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##### ​x2 + y3 − x2y2 = 64

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x2 + y3 − x2y2 = 64

 x-intercepts (x, y) = (  ) (smaller x-value) (x, y) = (  ) (larger x-value) y-intercepts (x, y) = (  ) (smaller y-value) (x, y) = (  ) (larger y-value)
Jan 29th, 2015

Answer:

X-Intercepts are (-8,0) and (8,0)

Y-Intercept is (0,4) <--There is just 1.

The equation might look complex, but don't let it scare you! :) We find x-intercepts and y-intercepts of this function as we would normally in other functions.

For the x-intercepts, we let y=0 and solve for x:

we get x^2 + 0 -0 =64.

So, x^2=64.

Therefore, x = 8 or x=-8

So the x-intercepts are (-8,0) and (8,0)

For the y-intercepts, we let x=0 and solve for y:

we get 0+y^3-0=64

So y^3 = 64

y=4

The y-intercept is (0,4).

Feel free to let me know if you have any further questions!

Jan 29th, 2015

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Jan 29th, 2015
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Jan 29th, 2015
Oct 17th, 2017
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