For a function (fn) to be odd:
f(x) = - f(-x)
For a fn to be even:
f(x) = f(-x)
For a fn to be neither even nor odd
f(x) != f(-x) [No Relation]
(-x)^n = x^n for n -> even
(-x)^n = -x^n for n -> odd
In your example:
f(x) = -4x^3 + 4x
f(-x) = -4 (-x)^3 + 4 (-x)^1 ( 3 and 1 are odd powers )
f(-x) = 4x^3 - 4x (take -1 common to do the check)
f(-x) = -( -4x^3 + 4x ) = - f(x) [between the bracket was the original fn]
f(x) = - f(-x)
so the function is odd also called symmetric about the origin
Answer:
Step-by-step explanation:
You have to prime factorise 81 and then you will get <u>9</u> as the answer.
Try to get the u’s on one side so for this to happen, you would subtract the four from both sides.
u - 4u = 7 - 4
combine like terms
-3u = 3
divide by -3
u = -1
Answer:
-4n + 5y + 6
Step-by-step explanation:
Distribute the negative
−4n + 5y + 6
There is really no answer for this but all you have to do is to multiply the figures outside the bracket by the ones inside the brackets.
Answer:
We can think of it as the zeros after the decimal point.
Step-by-step explanation:
Negative exponents always move the number to the right putting the decimal in front of it.
