SOLUTION: Hello, Here is my problematic road block: Determine if the function f(x) = 6x * |2x^3| is even, odd, or neither. Thank you and cheers, Ryan

Algebra ->  Functions -> SOLUTION: Hello, Here is my problematic road block: Determine if the function f(x) = 6x * |2x^3| is even, odd, or neither. Thank you and cheers, Ryan      Log On


   

Question 905994: Hello,
Here is my problematic road block:
Determine if the function f(x) = 6x * |2x^3| is even, odd, or neither.
Thank you and cheers,
Ryan
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
ODD?
-6x%2Aabs%282%28x%5E3%29%29=6%28-x%29%2Aabs%282%28-x%29%5E3%29
Is this true or false?

EVEN?
6%28-x%29%2Aabs%282%28-x%29%5E3%29=6x%2Aabs%282x%5E3%29
Is this true or false?


...FOLLOW WHAT I AM STATING,

Your book should contain a discussion of odd and even functions.
Let f(x) be a function and x is some real number.
An odd function follows a rule, f%28-x%29=-f%28x%29.
An even function follows a rule, f%28x%29=f%28-x%29.