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

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Homework Help Overview

The discussion revolves around graphing the equation e^x = x^2, focusing on accurately representing the graphs of exponential and quadratic functions. Participants are exploring methods to determine the steepness of graphs for future reference.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants share their initial attempts at drawing the graph and express uncertainty about accurately determining which function is steeper. There are suggestions to plot specific points to aid in understanding the graphs.

Discussion Status

The discussion is ongoing, with participants providing tips on using plotting tools and mentioning derivatives as a concept relevant to understanding steepness, though no consensus on a specific method has been reached.

Contextual Notes

Some participants note the context of precalculus versus calculus in relation to understanding derivatives and graph behavior.

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.
 

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