classify each function as even, odd, or neither even nor odd.
f(x) = x^6-x^4 even odd or neither
g(x) = x^5 -x^4 even odd or neither
h(x) = x^5 -x^3 even odd or neither
If f(x) = f(-x) ⇒ even
If f((-x) = -f(x) ⇒ odd
Else...neither
So
f(x) = x^6 - x^4
f(-x) = (-x)^6 - (-x)^4 = x^6 - x^4 = f(x) ....so even
f(x) = x^5 - x^(4)......neiher even nor odd because
f(-x) = (-x)^5 - (-x)^4 = -x^5 - x^4 .....not equal to f(x)
-f(x) = - [ x^5 - x^4] = -x^5 + x^4......not equal to f(-x)
f(x) = x^5 - x^4
f(-x) = (-x)^5 - (-x)^3 = -x^5 + x^3.....not = to f(x)....so....not even
-f(x) = - [ x^5 - x^3 ] = -x^5 + x^3 = f(-x).....so....odd