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:
x = 17
Step-by-step explanation:
A triangle's sum is 180 degrees, hence
6x + 10 + x + 17 + 4x - 34 = 180.
11x + 10 + 17 - 34 = 180
11x - 7 = 180
11x = 187
x = 17
hope this helps and is right!! p.s. i really need brainliest :)
Answer:
D
Step-by-step explanation:
Up to 400 pages, the cost is fixed at 5.00 dollars
After 400 pages the cost is 0.01 cents/page
- It's not A. 400 is the number of pages. It is not a cost.
- It's not B either. B means that no matter how many pages you print, it's going to cost 5 dollars + the number of pages times 1 cent.
- C is not the answer. It is really just an answer put it. You pay 1 cent for each page between 400 and what you printed.
- I think D is the answer, but if you get a negative number, then the cost is 5 dollars
Answer:
-14
Step-by-step explanation:
(-6)(2)= -12
(-8÷4)= -2
-12+(-2)= -14
6 4/5 = 6.8
4 1/2 = 4.5
6.8-4.5= 2.3
Answer: 2 3/10 more pounds of treasure