Step-by-step explanation:
Given;
We are given a graph of a function.
Required;
We are required to determine from the graph if the function is even, odd or neither even nor odd.
Solution:
To determine this from a graph, we should note that a function which is symmetrical with the y-axis is an even function. The graph which is symmetrical with the origin after a 180 degree rotation is an odd function.
Observe that if this graph is flipped from left to right (across the y-axis), it would not retain its original shape.
However, if the graph is rotated 180 degrees about the origin, it would retain its original shape.
Therefore, the graph depicted is an odd function
ANSWER:
The function is an ODD function