Categorize the following graph based on the parity (odd or even) of it's degree

Question

it's a cubic graph

Answer 1

y = x^3 is cubic and symmetrical about the origin, so it's an odd function

f(x) = x^3 and f(-x)= -f(x)

to be even, like y=x^2, it's symmetrical about the y axis, so it's an even function

where f(x) = f(-x)

f(x)=x^2 = f(-x)= (-x)^2 = x^2

same with other odd powered functions, they're odd functions

same with other even powered functions, they're even functions

f(x)=x^4 is an even function

f(x)=x^6 is an even function

f(x) = x is an odd function, y=x is an odd function f(-x)=-x=-f(x)

f(x)=x^5 is an odd function