Question

determine algebraically whether the function is even, odd, or neither even nor odd
f(x)=3x^5-7x^3

Answer 1

before we do algebra, take a look at the exponents
what do you see?

Answer 2

clear or no?

Answer 3

Recall that definition of an odd function means that f(x) = -f(x) and the definition of an even function means that f(x) = f(-x).

Answer 4

hmm
if \(f(x)=-f(x)\) that would mean \(f\) is always zero

the definition of "odd" is \(f(-x)=-f(x)\)

Answer 5

Typographical error there, thanks for correcting