which of the following are not well behaved funtions:

a)ax^2 + bx+c

b)e^x for all x

c)y= |x|

d)g(x) = cosx + sinx for -pie=< x =< pie and 0 elsewhere

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- Sep 18th 2007, 07:21 PMmyoplex11Well behaved functions
which of the following are not well behaved funtions:

a)ax^2 + bx+c

b)e^x for all x

c)y= |x|

d)g(x) = cosx + sinx for -pie=< x =< pie and 0 elsewhere - Sep 18th 2007, 07:28 PMThePerfectHacker
- Sep 19th 2007, 03:56 AMtopsquark
(sigh) (Fubar)

Would you eat $\displaystyle \pi$? No. So don't spell it "pie," spell it correctly: "pi."

Okay, this might be what you need: $\displaystyle y = |x|$ is not "smooth." That is to say all the derivatives of y are not continuous. (In fact no derivative of this function is continuous.) In this sense $\displaystyle y = |x|$ is not well behaved.

-Dan - Sep 19th 2007, 12:10 PMCaptainBlack