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awhig · 2005 February 17th, 03:13 PM

How can you be so sure that number of intersections is odd?
Are you considering the function: f(x) = x ^12 - 2 ^x , and proving the function to be even or odd?

While drawing curves, I considered following conditions:-
a) x > 0 [One point of intesection ]
b) 0 < x < 1 [ I did not find any]
c) x < 0 [One point of intersection]
d) x = 0 [ No intersection possible as f(x) <> 0 ]

2005 February 17th, 03:13 PM	#10 (permalink)
awhig shuriyoken Join Date: Sep 2004 Location: Now in US Posts: 2,387	Re: Intersection How can you be so sure that number of intersections is odd? Are you considering the function: f(x) = x ^12 - 2 ^x , and proving the function to be even or odd? While drawing curves, I considered following conditions:- a) x > 0 [One point of intesection ] b) 0 < x < 1 [ I did not find any] c) x < 0 [One point of intersection] d) x = 0 [ No intersection possible as f(x) <> 0 ]