Ranger

Algebra Level 2

What is the range of the equation y = 1 x 2 y=\dfrac{1}{x^2} ?

( , 0 ) (-\infty, 0) ( , ) (-\infty,\infty) ( 0 , ) (0,\infty) ( 0 , 1 ) (0,1)

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2 solutions

Department 8
Feb 9, 2016

As x x Approaches infinity the value of y approaches 0. And when x approaches 0 y approaches infinity someone may remind me tomorrow to upload an image as I am shuting down

Kay Xspre
Feb 9, 2016

We will get that lim x 1 x 2 = 0 \displaystyle\lim_{x\rightarrow\infty}\frac{1}{x^2} = 0 and lim x 0 1 x 2 = \displaystyle\lim_{x\rightarrow0}\frac{1}{x^2} = \infty , but the value is never zero, therefore y ( 0 , ) \displaystyle y\in(0, \infty)

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