Question

Prove algebraically what type of function this is (even, odd, or neither).
f(x)=x^6-x^4

Please helpp with the last problem.

Answer 1

Answer:

  even

Step-by-step explanation:

An even function is one that has the property ...

  f(x) = f(-x)

If we evaluate the function for -x, we find ...

  f(-x) = (-x)^6 -(-x)^4

  f(-x) = (-1)^6·x^6 -(-1)^4·x^4

  f(-x) = x^6 -x^4 = f(x)

The function is even.