Determine algebraically whether the function is even, odd, or neither even nor odd. f as a function of x is equal to x plus quantity 4 over x.

1) Even for first problem.

2) Neither for the second.

I really think the problem I labeled 1 is the correct interpretation but just in case you meant the latter I wrote the latter as well. The sentence translates to exactly what I have for problem number 1.

The Problem:

1) Determine if is even, odd, or neither.

2) Determine if is even, odd, or neither.

Step-by-step explanation:

implies is even.

implies is odd.

So either definition says we have to plug in .

1)

with new input :

This means is even since we got the same thing we started with.

2)

with new input :

This is neither the same or the opposite of what we started with.

yes yes yes yes yes yes yes yes yes