- #1

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a) a real valued odd function cannot be strictly monotonic

b) a real valued periodic function must be odd or even

c) a real valued monotonic function cannot be even

a) sinh(x) ??

b)

c)

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- Thread starter xlalcciax
- Start date

- #1

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a) a real valued odd function cannot be strictly monotonic

b) a real valued periodic function must be odd or even

c) a real valued monotonic function cannot be even

a) sinh(x) ??

b)

c)

- #2

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Yes, (a) is correct!

- #3

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- #4

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Pick your favorite periodic function and transform it so that it is neither even nor odd...

- #5

nicksauce

Science Advisor

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Thanks!

Can You give me some clues for b) ?

Think of a periodic function that is odd or even. Now phase shift it slightly. Is it still odd or even?

- #6

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Think of a periodic function that is odd or even. Now phase shift it slightly. Is it still odd or even?

yeah. i have got it now!

what about c) ? f(x)=2 ??

- #7

SammyS

Staff Emeritus

Science Advisor

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Any odd function which is continuous on (−∞, +∞), passes through the origin.Thanks!

Can You give me some clues for b) ?

Take an odd periodic function & shift it up or down.

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