x2 + y3 − x2y2 = 64
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.
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
The y-intercept is (0,4).
Feel free to let me know if you have any further questions!
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