How do you determine whether a graph is even odd or neitherS

Solution

There are two ways to determine the nature of a function (odd, even, or neither). Graphically: If there is a graph provided or you are able to recognize the graph of the function, then the nature can be determined as follows: if f(x) is symmetric about the y-axis, f(x) is EVEN if f(x) is symmetric about the origin, f(x) is ODD if f(x) is NOT symmetric about either the y-axis or the origin, f(x) is NEITHER Algebraically: if f(-x) = f(x), then f(x) is EVEN if f(-x) = -f(x), then f(x) is ODD if f(-x) does not equal either f(x) or -f(x), then f(x) is NEITHER bol