Posted by **Jen** on Tuesday, January 30, 2007 at 2:04pm.

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 of x, then it is neither an odd nor an even function

Thanks in advance

You have the definition, so put -x in for x and see if it matches the odd or even definition. To be odd, all the terms have to change.

For instance f(x)= x + 3

That is not odd,nor even, because f(2)=5, and f(-2)=2, using your definitions

So to write the answer, I just use examples and prove it?

Thanks

## Answer this Question

## Related Questions

- Calculus, check my answer, please! 1 - Did I get this practice question right? 1...
- math - I know It's probably an easy question but I don't know remember how to do...
- Math - If f and g are functions defined for all real numbers, and f is an odd ...
- Calculus, check my answer, please! 2 - Consider the following functions: f(x)=...
- discrete math - prove that if n is an integer and 3n+2 is even, then n is even ...
- Calculus, check my answers, please? :) - Okay, so I think these are right, but I...
- Algebra - Let f(x) = 1 – 3x^2. Which of the following is true? Give a brief ...
- Statistics - a roulette wheel has 40 slots evenly divided between red (even) and...
- Algebra - Confused Please Help! Thanks! Let f(x) = 1 – 3x^2. Which of the ...
- Algebra - Let f(x) = 1 – 3x^2. Which of the following is true? Please give us a ...

More Related Questions