Question

f(x)=3x^5-2x^3 determine if the function is even, odd or neither

Answer 1

With polynomials, here's a neat trick:


If all of the exponents are even, then the polynomial function is even.

If all of the exponents are odd, then the polynomial function is odd.

If there are a mix of even and odd exponents, then the polynomial function is neither even nor odd.

Answer 2

so this function is odd?

Answer 3

exactly since the exponents (5, 3) are odd

Answer 4

so this one is even f(x)=22x^4-3x^2? sorry just wanted me to make sure I am doing the right thing

Answer 5

yep, the exponents 4 and 2 are both even, so the polynomial function is even

Answer 6

again, this trick only works for polynomials

Answer 7

okay thank you

Answer 8

you're welcome