### Home > INT3 > Chapter 2 > Lesson 2.2.3 > Problem 2-82

2-82.

Decide whether each of the following functions is even, odd, or neither. Show or explain your reasoning.

For this equation, does

or does?Substitute

for and simplify.This result is not the same as the original, so it's not even, and it's not equal to the opposite, so it's not odd. The opposite of the equation would be

For this equation, does

or does?Since

and this equation is neither even nor odd.

See parts (a) and (b).

Yes,

, making this even.