# Let # f(x) # be the function # f(x) = 5^x - 5^{-x}. # Is # f(x) # even, odd, or neither ? Prove your result.

##### 1 Answer

Feb 6, 2018

The function is odd.

#### Explanation:

If a function is even, it satisfies the condition:

If a function is odd, it satisfies the condition:

In our case, we see that

Since