Question

How do you determine if `f(x) = x+1` is an even or odd function?

Answer 1

neither

Explanation:

To determine if a function is even/odd the following applies.

• If f(x) = f( -x) then function is even ,`AAx`

Even functions have symmetry about the y-axis.

• If f( -x) = - f(x) then function is odd , `AAx`

Odd functions have symmetry about the origin.

Test for even :

f( - x) = (-x) + 1 = -x + 1 ≠ f(x) , hence function is not even

Test for odd :

`- f(x) = -(x + 1) = -x - 1 ≠ f( -x)` → not odd