Rotating 180 degrees about the point p.
If they are perpendicular reflecting across each one will have the same effect as if the point was rotated 180 degrees about the certain point.
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:
Step-by-step explanation: emma's amount be X . justin has $7.50+x because he has $7.50 more than emma.Since emma has 7.50+x-$12.to get everyones amount add what they have together which is=$7.50+x+$7.50+x-12 which in total is $63.00.after the calculations you get x=30.now distribute the x equally. so justin has $7.50+30=37.50.we also distribute it with emma's which is 7.50+30-12=25.5.
justin=$37.50
Emma=$25.50
to be sure add 37.50+25.50=$63
Answer:
6 units away from 0.
Step-by-step explanation:
when move to 6 you count the units.
21,618.........................
