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
"system of equations when 45 aninals with 7more cats than dogs" 45= 7c>d
Answer:
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Step-by-step explanation:
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Answer:

Step-by-step explanation:
Let us start by isolating x for dx = x + 9.
dx - x = x + 9 - x > dx - x = 9.
Factor out the common term of x > x(d - 1) = 9.
Now divide both sides by d - 1 >
. Go ahead and simplify.
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Now,
.
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Group the like terms...
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>
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Now for
.
.
Now for
.
Thus we then get
.
Now we want to combine fractions.
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Expand
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Therefore
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Hope this helps!
Answer:

Step-by-step explanation:
we have

we know that

substitute

Factor 2
![2[(2)x+(7)]](https://tex.z-dn.net/?f=2%5B%282%29x%2B%287%29%5D)
