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SAT® Math

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Moderate

Using a Graph's Description

SATMAT-1VTEI1

The graph of a certain equation in the $ xy $ -plane has no $ x $ or $ y $ intercepts, is increasing for $ x<0 $, and is decreasing for $ x>0 $. Which of the following could be the equation of this graph?

A

$ y=-\cfrac { 1 }{ x } $

B

$ y=\cfrac { 1 }{ x } $

C

$ y=\cfrac { 1 }{ { x }^{ 3 } } $

D

$ y=\cfrac { 1 }{ { x }^{ 2 } } $