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
How do i determine if this function (x-4)(x+3)(2x-1) is even or odd?
6 answers
Can you do this in a way where you can just leave x as f(-x) instead of substituting it as 1?
Yes, but why bother ?
let x = a and then -a
and multiply the mess out and see if
f(-a) = f(a)
or if
f(-a) = - f(a)
and multiply the mess out and see if
f(-a) = f(a)
or if
f(-a) = - f(a)
I could have used x = 51375 or -51375
but no need
it has to work for ANY x to be odd or even
but no need
it has to work for ANY x to be odd or even
Okay, thanks for the clarification! It definitely is easier with your method, however my teacher wants it done in a certain way.
1 answer