SOLUTION: please help me solve this equation The function, f(x)=2x^3-3x, is a.even b.odd c.neither even nor odd d.none of the above

Algebra ->  Functions -> SOLUTION: please help me solve this equation The function, f(x)=2x^3-3x, is a.even b.odd c.neither even nor odd d.none of the above      Log On


   

Question 239140: please help me solve this equation
The function, f(x)=2x^3-3x, is
a.even
b.odd
c.neither even nor odd
d.none of the above
Answer by jsmallt9(3758) About Me  (Show Source):
You can put this solution on YOUR website!
Functions are even if f(-x) = f(x). Functions are odd if f(-x) = -f(x). So to determine even or odd (or neither) we need to find f(-x).

f%28x%29=2x%5E3-3x
f%28-x%29=2%28-x%29%5E3-3%28-x%29+=+2%28-x%29%28-x%29%28-x%29+-+3%28-x%29+=+-2x%5E3+%2B+3x
f(-x) is not equal to f(x) so the function is not even.
f(-x) is equal to -f(x) so the function is odd.