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. choose the correct answer below. the function is even. the function is odd. the function 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. choose the correct answer below. the function is even. the function is odd. the function 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)) for all (x) in the domain. An odd - function has a graph symmetric about the origin, i.e., (f(-x)=-f(x)) for all (x) in the domain.

Step2: Analyze the given graph

By observing the graph, we can see that it is not symmetric about the y - axis. For example, if we take a point ((x,y)) on the graph, the point ((-x,y)) is not on the graph. Also, the graph is not symmetric about the origin. If we take a point ((x,y)) on the graph, the point ((-x, - y)) is not on the graph.

Answer:

The function is neither even nor odd.