Time remaining:
​x2 + y3 − x2y2 = 64

Algebra
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x2 + y3 − x2y2 = 64


x-intercepts    
(xy) = (  )
(smaller x-value)
    
(xy) = (  )
(larger x-value)
y-intercepts    
(xy) = (  )
(smaller y-value)
    
(xy) = (  )
(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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