find the given equation list the intercepts and test for semmetry

y=x^3-1000
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1 Answer

f(x)=x³-1000=(x-10)(x²+10x+100).

Intercept is x=10.

Symmetry: y-intercept is -1000, and y=-1000 can be seen as a secondary x-axis. In relation to this secondary axis the curve is effectively f(x)=x³, where the secondary origin is (0,-10), and f(x)=-f(-x). There is no actual symmetry because the left and right sides of the curve are not mutual reflections.

by Top Rated User (797k points)

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