Question

Determine whether each function is even, odd, or neither. g(x) = |x-3| neither g(x) = x + x² neither

Answer 1

So, both the functions are neither even and nor odd.

Explanation:

A function is even if g(x) = g(-x) and odd if g(x) = - g(x).

g(x) = |x-3|

g (-x ) = | -x -3 |

So, the function is neither even and nor odd.

g (x) = x + x²

g (- x) = (- x) + (- x) ² = - x + x²

So, the function is neither even and nor odd.