Calculus, 8th Edition,stewart; page 23 problem 75

Question

Determine whether f is even, odd, or neither. if you have a graphing calculator, use it to check your answer visually.

f(x) = x/(x+1)

Answer 1

Step:1

The function is .

If , then the function is said to be even.

If , then the function is said to be odd.

Substitute  in .

 not equal to either  or .

The function  is neither even nor odd function.

Step:2

Graph :

Graph the function .

In above graph, it is not symmetry with respect to neither origin nor axis.

So the function is neither even nor odd function.

Solution:

The function  is neither even nor odd function.