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

##### 2 Answers

Relate

#### Explanation:

#= -x + abs(x)#

Since

Since

Here is a graph of

graph{x+abs(x) [-10, 10, -5, 5]}

If

If

These are graphical methods to check whether a function is odd or even. However neither of the symmetries are present.

Hence,

Neither.

#### Explanation:

The graph for y = f(x) comprises the negative x-axis continued as the straight line y = 2x in the first quadrant.,