identify whether the graph of the function $f(x)$ shown below is even, odd, or neither.\n\nanswer attempt 1…

identify whether the graph of the function $f(x)$ shown below is even, odd, or neither.\n\nanswer attempt 1 out of 3\nthe graph is because

identify whether the graph of the function $f(x)$ shown below is even, odd, or neither.\n\nanswer attempt 1 out of 3\nthe graph is because

Answer

Explanation:

Step1: Recall definitions

A function ( f(x) ) is even if ( f(-x) = f(x) ) (symmetric about ( y )-axis), odd if ( f(-x) = -f(x) ) (symmetric about origin).

Step2: Analyze graph symmetry

Check the graph: For every point ( (x, y) ) on the graph, the point ( (-x, -y) ) should also be on it (origin symmetry). Visually, the left side is the mirror image of the right side across the origin. So ( f(-x) = -f(x) ).

Answer:

odd, it is symmetric about the origin (satisfies ( f(-x) = -f(x) ))