# Algebra2

posted by .

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.

## Similar Questions

1. ### odd and even functions

Using f is odd if f(-x) = -f(x) or even if f(-x) = f(x) for all real x, how do I 1)show that a polynomial P(x) that contains only odd powers of x is an odd function 2)show that if a polynomial P(x) contains both odd and even powders …
2. ### math

I know It's probably an easy question but I don't know remember how to do it. Show the work to determine if the relation is even, odd, or neither. a ) f(x) = 2x^2 - 7 b) f(x) = -4x^3 - 2x c) f(x) = 4x^2 - 4x + 4 If f(-x) = f(x), for …
3. ### Algebra Functions

I don't understand how you determine whether a function is even, odd,or neither. Here are my problems: Determine whether the given function is even, odd, or neither. 8. f(x)=x^3-x^2 This is how I did it. f(-x)=(-x^3)- (-x^2)= (-x)(-x)(-x) …
4. ### Symmetry

For these functions, determine which ones are NEITHER even nor odd. A) f(x)=3x^2+|x| B) f(x)= 3x^3+x^2+x-4 C) f(x)= 1/2x D) f(x)= 2x^5-x^3+2x E) f(x)= 4x+1/x F) F(x)= 2x^4+x^2-x+2 Enter the letter of each function separated with a …
5. ### Algebra2

Determine if the given function is even, odd or neither. 1. f(x)= 3x^4 -2x^2 Even?
6. ### Algebra2

Check Please? Determine if the given function is even, odd or neither. 1. f(x) = 3x^4 - 2x^2 =Even. 2. f(x) = x^3 + x = Odd.