Symmetry in Calculus

Even Functions

Even Functions are functions that are symmetric about the y axis. They’re called this because all exponential functions with an even power follow this rule. ($x^2,x^4,x^6$). Mathematically:
$f(-x)=f(x)$

Contrastingly:

Odd Functions

Odd Functions are functions that are symmetric about the origin. Exponential functions with an odd power follow this rule ($x^3,x^5,x^7$).
$f(-x)=-f(x)$