Graphing e^x = x^2: Tips for Accurate Drawings

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The discussion focuses on accurately graphing the equation e^x = x^2, highlighting initial misrepresentations of the graph. Participants suggest using plotting tools, such as fooplot.com, to visualize the functions better. Derivatives are mentioned as a method to determine the steepness of graphs, although this concept is typically covered in calculus. The importance of plotting actual points of interest is emphasized for clarity. Accurate graphing techniques are essential for understanding complex functions.
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The graph e^x = x^2:

I originally drew it like this:

ov3Zx.png


But it's actually:

Q68TS.png


If I come across more complex graphs in the future, is there a way to know which one is steeper than the other, to draw it accurately ?
 
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phospho said:
The graph e^x = x^2:

I originally drew it like this:

ov3Zx.png


But it's actually:

Q68TS.png


If I come across more complex graphs in the future, is there a way to know which one is steeper than the other, to draw it accurately ?

You could plot some actual points of interest to see where the plots are...
 
A good plotting tool exists at fooplot.com -- by the way, "The graph e^x = x^2:" makes little sense.
 
phospho said:
If I come across more complex graphs in the future, is there a way to know which one is steeper than the other, to draw it accurately ?

Yes, they're called derivatives, but you study those in calculus and since you posted this in precalculus I'll leave it at that.
 
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