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Topology

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Moderate

Cubic Homeomorphism

TOPO-XBXF7@

Suppose $f(x)=x^3+7$ is a homeomorphism from $(a,b)$ to $(-1,15)$. What is $(a,b)$? Equip both intervals with the subspace topology induced by the standard topology on $\mathbb R$.

A

$(-2,2)$

B

$(0,2)$

C

$(-2,0)$

D

$(-1,2)$