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
The correct answer is D, 'Subtract 42 - 12. Then divide the difference by 3'. Lauren has 42 muffins, and she can put 12 of them into a box, leaving her with 30 muffins to fit into bags. If she can fit 3 muffins in each bag, and she wants to know how many bags she needs, then she needs to divide 30 by 3 to get 10. This means that she will need 10 bags of 3 muffins to completely pack 30 muffins. She started with 42, but 12 of those fit into the original box, so we don't have to worry about it.
Hope this helps!
Sum of the first two is:
-3x+5+7-4x = -7x+12
That subtracted from 5x+17:
5x+17-(-7x+12) = 12x+5
Answer:
4 is in the p and 2 in the not p
Step-by-step explanation:
the one with the 40 in p the one with the 12 in p the one with 8 in the p and the one with the 12 with a 3 is in the p the others are in no p.
