use possible symmetry of the graph to determine whether it is the graph of an even function, an odd…

use possible symmetry of the graph to determine whether it is the graph of an even function, an odd function, or a function that is neither even nor odd.

use possible symmetry of the graph to determine whether it is the graph of an even function, an odd function, or a function that is neither even nor odd.

Answer

Explanation:

Step1: Recall function - symmetry rules

An even function has a graph symmetric about the y - axis, i.e., (f(x)=f( - x)). An odd function has a graph symmetric about the origin, i.e., (f(-x)=-f(x)).

Step2: Examine the given graph

If we reflect the graph about the y - axis, the graph does not coincide with the original graph. So, it is not an even function.

Step3: Check for origin - symmetry

If we rotate the graph (180^{\circ}) about the origin, the graph does not coincide with the original graph. So, it is not an odd function.

Answer:

The function is neither even nor odd.