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

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phospho
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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.