- #1

thenewbosco

- 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.

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- Thread starter thenewbosco
- Start date

- #1

thenewbosco

- 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

- 1,994

- 1

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

- #3

thenewbosco

- 187

- 0

- #4

Dr Avalanchez

- 18

- 0

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

Jameson

Gold Member

MHB

- 4,538

- 13

- #6

shmoe

Science Advisor

Homework Helper

- 1,994

- 1

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

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

Share:

- Last Post

- Replies
- 6

- Views
- 393

- Last Post

- Replies
- 1

- Views
- 655

- Last Post

- Replies
- 2

- Views
- 557

- Last Post

- Replies
- 3

- Views
- 694

- Replies
- 2

- Views
- 377

- Replies
- 1

- Views
- 572

- Replies
- 6

- Views
- 832

- Last Post

- Replies
- 20

- Views
- 1K

- Last Post

- Replies
- 2

- Views
- 345

- Last Post

- Replies
- 2

- Views
- 419