y = f(x)
x is integer.
The solution of y is:
y is -1 for all even values of x
y is +1 for all odd values of x
what is f(x)
2006-09-24 12:11:26 · 10 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
y = -(-1)^x
For all even powers, -1^x is positive; it is negative for all odd powers. Your problem wanted the reverse, therefore the - sign in front.
2006-09-24 12:14:10 · answer #1 · answered by gp4rts 7 · 0⤊ 0⤋
It's y = -(-1)^x
(-1)^x is positive for even values of x and negative for odd values, so taking the negative of it fits your requirement.
Doug
2006-09-24 12:17:01 · answer #2 · answered by doug_donaghue 7 · 0⤊ 0⤋
f(x) = -(-1)^x
2006-09-24 12:14:16 · answer #3 · answered by Pascal 7 · 0⤊ 0⤋
y = (-1)^(x+1)
others have answered it correctly. we know
(-1)^x is -1 when x is odd and 1 when even so multiply by -1 and combine x and 1
2006-09-24 17:48:16 · answer #4 · answered by Mein Hoon Na 7 · 0⤊ 0⤋
its a negative 2 times X
-2x
2006-09-24 12:15:19 · answer #5 · answered by hahahaha 1 · 0⤊ 0⤋
y = -(-1^x)
-1^x is negative for odd values of x and therefore when you negate this, it is positive...
-1^x is positive for even values of x and therefore when you negate these, they are negative.
2006-09-24 12:28:25 · answer #6 · answered by ♥Tom♥ 6 · 0⤊ 0⤋
- (-1) ^ x
(12,-1)
(13,+1)
2006-09-24 12:46:38 · answer #7 · answered by Anonymous · 0⤊ 0⤋
f(x) = (-1)^x yields the desired solution.
2006-09-24 12:16:31 · answer #8 · answered by Helmut 7 · 0⤊ 0⤋
aha...good puzzle. got it...
Y=f(x)= -(-1)x (where x is a POWER - can't write it correctly using this text writer.)
2006-09-24 12:29:11 · answer #9 · answered by 2Horses 2 · 0⤊ 0⤋
You lost me!
2006-09-24 12:13:09 · answer #10 · answered by iloveyou (: 2 · 0⤊ 0⤋