SOLUTION: Determine algebraically whether the given function is even,odd, or neither. f(x)=-2x^2 |-6x|

Algebra ->  Functions -> SOLUTION: Determine algebraically whether the given function is even,odd, or neither. f(x)=-2x^2 |-6x|       Log On


   

Question 752650: Determine algebraically whether the given function is even,odd, or neither.
f(x)=-2x^2 |-6x|
Answer by tommyt3rd(5050) About Me  (Show Source):
You can put this solution on YOUR website!
For evenness we check if f(-x)=f(x) and for our problem it does:



f%28-x%29=-2%28-x%29%5E2abs%286x%29=f%28x%29

so f is even

:)