Question

Function question

Answer 1

long question...

Answer 2

Describe the conditions under which you would know whether a polynomial function\[f(x)=a _{n}x ^{n}+a _{n-1}x ^{n-1}+...+a _{2}x ^{2}+a _{1}x+a _{0}\]
is even or odd without using an algebraic procedure?

Answer 3

sorry it was hard to write the equation

Answer 4

im playing

Answer 5

do you know anything about limits?

Answer 6

not really

Answer 7

Even with positive coef f(x) → ∞ as x → ±∞ even with negative coef f(x) → -∞ as x → ±∞

Answer 8

does this make sense?

Answer 9

no

Answer 10

hmm, sorry no idea what your looking for.

Answer 11

I guess I'm asking how to know whether a polynomial function is even or odd without using an algebraic procedure

Answer 12

If all the exponents are even, then the function is even

If all the exponents are odd, then the function is odd

Answer 13

but the function alternates between even and odd exponents so that would mean the function is even or odd half the time

Answer 14

if you have even and odd exponents, then the function is neither even nor odd

Answer 15

okay thanks for your help

Answer 16

np