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:
No he can't
Step-by-step explanation:
8² = 64
10² = 100
8² + 10² = 164
18² = 324
For a right triangle A²+B²=C²
Let y be your total price for buying juice at the farmers market. And x be the amount of juices you buy. If each juice cost 5 bucks then you multiply 5 by x(amount of juice) to get y(your total)
Hi there! The answer is x = -1
Let's solve this equation step by step!
First collect terms.
Subtract (1/2)x from both sides.
Subtract 3 from both sides.
And finally divide by -1 3/4
