Question

Determine whether the function below is and even function, an odd function, both, or neither.

Function: f(x)=x^6+10x^4-11x^2+19

A. neither even nor odd
B. both even and odd
C. even function
D. odd function

Answer 1

Even function

Explanation:

The key here is to recognize that all powers of x in the polynomial f(x)=x^6+10x^4-11x^2+19

are even. This is a sure-fire way to identify an EVEN function.