Question

Determine if the function is even,odd, or neither.
f(x) = x7 + x5

Answer 1

If f(-x)= f(x), then function is even
if f(-x)=-f(x), then function is odd.

@acacia Can you find f(-x)?

Answer 2

f(-x)=(-x)^7+(-x)^5
, now is f(-x) = -f(x) or f(x)

Answer 3

@ash2326 @kirbykirby so then would it be an even function?

Answer 4

\(f(-x)=(-x)^7+(-x)^5=-x^7-x^5=-(x^7+x^5)\)

Answer 5

do you recognize what's in the parentheses after the negative?

Answer 6

@kirbykirby yeah

Answer 7

it's just f(x)! so we've shown that f(-x)=-f(x)