Determine whether function is even or odd

Hi!

Determine whether the function is even, odd or neither.

1.

The function is even since:

The result of cubing a negative is negative and taking the sine of a negative gives a negative, and multiplying two negatives gives a positive.

Correct any flaws in this thinking process please!

2.

This function is even since:

Re: Determine whether function is even or odd

Quote:

Originally Posted by

**Unreal** Hi!

Determine whether the function is even, odd or neither.

1.

The function is even since:

The result of cubing a negative is negative and taking the sine of a negative gives a negative, and multiplying two negatives gives a positive.

Correct any flaws in this thinking process please!

2.

This function is even since:

The first is correct. For the second, recall that cos(-x) = cos(x). Cosine is an *even* function, not odd.

-Dan

Re: Determine whether function is even or odd

Re: Determine whether function is even or odd

Quote:

Originally Posted by

**Unreal**

Thus f(x) is even.

-Dan

Re: Determine whether function is even or odd

Quote:

Originally Posted by

**topsquark** The first is correct. For the second, recall that cos(-x) = cos(x). Cosine is an *even* function, not odd.

-Dan

The first is NOT correct (or at least is incomplete), as the OP should have written .