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
<em><u>Answer</u></em>
c. It divides the radius by 2.
<em>Explanation</em>
The general equation of a circle is
(x-h)² + (y-k)² = r²
Where (h, k) makes the coordinates of the circle and r the radius.
x² + y² = 25 For this equation,
center (0, 0)
Radius = √25 = 5
4x² + 4y² = 25 First simplify this equation
4x² + 4y² = 25 ⇒ x² + y² = 25/4
center (0, 0)
Radius = √(25/4) = 5/2
The radius has been divided by 2
Answer:
yes she is right
Step-by-step explanation:3x + 3 is the same as 3 + 3x.
the zero adds nothing to the 3x term. So this means that 3x +3 and 3 + 3 are the same.
i hope this helps you.
A. Sugar And Brown Sugar (For Cookies)
B. No.
C 1/2 Cup (INGREDIENT) And 1/8 Cup (INGREDIENT)
Answer:
240 minutes
Step-by-step explanation:
If it's 40 minutes for just 5 papers, we need to figure how many minutes it would take to grade just 1. So you have to divide 40 by 5 which is 8. Then 8 time 30 which is 240.
