Answer:
- a function is even if f(x)=f(-x)
- a function is odd if -f(x)=f(-x)
Explanation:
Even functions have a symmetry about the y-axis. This means that f(x) will appear reflected on the y-axis to get f(-x).
Examples of even functions could be f(x)=x², f(x)=x⁴ , f(x)=x²+1
Odd functions have the origin symmetry .This means equal distance in f(x) and f(-x) from the origin.
Examples of odd functions are; f(x)=x³ and f(x)=x³-x
Attached are visual examples for an even function f(x)=x²+1 and odd function f(x)=x³-x