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:
plz help and this is fro khan academy if it helps!
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Step-by-step explanation:
plz help and this is fro khan academy if it helps!
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A
Step-by-step explanation:
because i did this and i pass this
Answer:
circumference: 37.7
area: 113.1
Step-by-step explanation:
for the future look up '___ of a circle'
and enter the radius (if u are given the diameter divide it by 2)
