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

Question

Mathematics

Hudson Arellano

26 February, 23:20

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

+2

Answers (1)

Know the Answer?

Abel Herring · Answer 1

Even function

Step-by-step 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.

Determine whether the function below is and even function, an odd function, both, or neither.Function: f (x) = x^6+10x^4-11x^2+19A. neither even nor oddB. both even and oddC. even functionD. odd function

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