- #1

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Is e^x an even or odd function.

also what about

e^x + e^-x

and

e^x - e^-x

thanks for the help.

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- Thread starter thenewbosco
- Start date

- #1

- 187

- 0

Is e^x an even or odd function.

also what about

e^x + e^-x

and

e^x - e^-x

thanks for the help.

- #2

shmoe

Science Advisor

Homework Helper

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Have you tried to apply the definitions of even and odd functions? Where does it get you?

- #3

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- #4

- 18

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a function is odd iff f(-x) = -f(x), for example sin(x)

exp(-x) <> exp(x) <> -exp(x), so exp(x) is neither

exp(-x)+exp(x) = exp(x)+exp(-x), so exp(x)+exp(-x) is even (=2cos(x))

exp(-x)-exp(x) = -(exp(x)-exp(-x)), so exp(x)-exp(-x) is odd (=2isin(x))

- #5

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- #6

shmoe

Science Advisor

Homework Helper

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thenewbosco said:...which is neither f(x) nor -f(x).

It's possible for a function to be neither even nor odd.

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