Algebra2

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Helpp?
Graphs of functions !!
I need to determine if these are odd or even?

1. f(x)=x^5-x

2. f(x)=5

3.f(x)=x^4+2x^3

  • Algebra2 -

    even if f(-x) = f(x)
    odd if f(-x) = -f(x)

    even if all powers are even
    odd if all powers are odd

    remember that 0 is an even power

  • Algebra2 -

    So These Are all even?!
    Sorry I'm still kind of lost..

  • Algebra2 -

    come on. can't tell even and odd numbers?!?!?

    x^5-x = x^5 - x^1
    5 and 1 are both odd, so f(x) is odd

    5 = 5x^0
    0 is an even power, so f(x) is even

    x^4 + 2x^3
    4 is even, 3 is odd, so f(x) is neither even nor odd.

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