Asked by David

How do i determine if this function (x-4)(x+3)(2x-1) is even or odd?
Answered by Damon
if x = +1
(-3)(4)(1) = -12
if x = -1
(-5)(2)(-3) = +30
so f(-x) is NOT f(x) so not even
now is f(-x) = -f(x)
nope, 30 is not -(-12) so not odd
Answered by David
Can you do this in a way where you can just leave x as f(-x) instead of substituting it as 1?
Answered by Damon
Yes, but why bother ?
Answered by Damon
let x = a and then -a
and multiply the mess out and see if
f(-a) = f(a)
or if
f(-a) = - f(a)
Answered by Damon
I could have used x = 51375 or -51375
but no need
it has to work for ANY x to be odd or even
Answered by David
Okay, thanks for the clarification! It definitely is easier with your method, however my teacher wants it done in a certain way.
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