How to Make the Function y = (5/x^2) - 3 Appear Linear on a Graph?

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SUMMARY

The function y = (5/x^2) - 3 can be represented linearly by plotting y against 1/x^2. This transformation allows for a linear approximation of the function, making it easier to analyze its behavior. The key takeaway is that by changing the variable to 1/x^2, the graph will exhibit a linear relationship, facilitating interpretation and further calculations.

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How should you graph the function y = (5/x^2) -3 so that it looks linear? Can you explain your reasoning?
 
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physics newb said:
How should you graph the function y = (5/x^2) -3 so that it looks linear? Can you explain your reasoning?

Do you mean, how to approximate the function with a linear function and graph this very function?
 
physics newb said:
How should you graph the function y = (5/x^2) -3 so that it looks linear? Can you explain your reasoning?
If you plot y vs 1/x^2, it will be linear.
 

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