Sketching the Curve (1/x2) - 1

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SUMMARY

The discussion centers on sketching the curve of the function (1/x²) - 1. Participants confirm that the y-axis serves as an asymptote for this function. They emphasize the importance of calculating specific points, such as when x=1 and x=-1, to accurately plot the graph. Additionally, generating values for x=2, 3, and 4 reveals that parts of the curve extend below the x-axis, highlighting the function's behavior.

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  • Understanding of asymptotic behavior in functions
  • Basic knowledge of graphing functions
  • Familiarity with the concept of generating function values
  • Experience with Cartesian coordinates
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  • Learn how to identify and graph asymptotes in rational functions
  • Explore the characteristics of polynomial and rational functions
  • Practice generating and plotting points for various functions
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Students in mathematics, educators teaching graphing techniques, and anyone interested in understanding the behavior of rational functions.

lionely
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I need to sketch the curve (1/x2) - 1

Is this correct?

2ilmse1.png



Excuse the untidiness this was drawn in paint. :S

I know the y-axis is an asymptote to the function, I haven't sketch a graph like this before so I'm kind of confused.
 
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when x=1 then what is y? do you see that point on your graph?

similarly for x=-1

try generating several points at x=2,3,4... and plot them
 
oh.. sigh I see a part if below the x-axis now thanks.
 

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