I had a thought while doing some calculus last night and it now concerns me that for some reason I cannot answer it. If given the equations [tex]y=x[/tex] and [tex]y=x^2+1[/tex] it would appear that since the range of the latter "reaches" infinity "first" that these two curves never meet. Now that thought did not occur to me until I sketched them(adsbygoogle = window.adsbygoogle || []).push({}); afterI tried solving them as a system of equations.

Is there some way (not intuitively, but abstractly) to see that these two curves never intersect?

Thanks,

Casey

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# Homework Help: Silly Question about systems of equations

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