Question

Tell whether the function f(x) = -x3 + 7x + 4 is an even or odd function, and describe its symmetry.

Answer 1

for a polynomial it is easy to tell. the degrees of the terms are
3
1
0
3 and 1 are odd but 0 is not, so this is not an odd function

Answer 2

\[f(x)=4x^5+x^3-5x\] is odd
\[g(x)=3x^4-x^2+7\] is even
all degrees must be either odd or even for the polynomial to be