Help: Definition of function

• Oct 12th 2009, 03:05 PM
wirefree
Help: Definition of function
Greetings.

For a function, f(x), defined as follows:

1 if |x| < (1/2)
0 otherwise

how will the function f(-x) be defined?

Would greatly appreciate assistance.

Best regards,
wirefree
• Oct 12th 2009, 04:45 PM
Isimbot
For a function, f(x), defined as follows:

1 if |x| < (1/2)
0 otherwise

how will the function f(-x) be defined?

1 if -.5 < -x < .5
0 otherwise

Seems like the only plausible answer to me.
• Oct 12th 2009, 05:02 PM
wirefree
Quote:

Originally Posted by Isimbot
1 if -.5 < -x < .5
0 otherwise

Seems like the only plausible answer to me.

Appreciate the prompt response, Isimbot.

f(x) = f(-x)

Is this true for all functions?

Best regards,
wirefree
• Oct 12th 2009, 05:19 PM
skeeter
Quote:

Originally Posted by wirefree
Greetings.

For a function, f(x), defined as follows:

1 if |x| < (1/2)
0 otherwise

how will the function f(-x) be defined?

since |x| = |-x| , the function will be the same.
• Oct 12th 2009, 06:14 PM
Isimbot
Quote:

Originally Posted by wirefree
Appreciate the prompt response, Isimbot.

f(x) = f(-x)

Is this true for all functions?

Best regards,
wirefree

With the stated definition, yes.
• Oct 12th 2009, 06:29 PM
HallsofIvy
Quote:

Originally Posted by wirefree
Appreciate the prompt response, Isimbot.

f(x) = f(-x)

Is this true for all functions?