find the graph of an odd function.

Explanation:

Step1: Recall odd function property

An odd function satisfies ( f(-x) = -f(x) ), so its graph is symmetric about the origin. This means for every point ((x, y)) on the graph, ((-x, -y)) is also on the graph.

Step2: Analyze each graph

• Top - left: Symmetric about the y - axis (even function property), not odd.
• Top - right: Not symmetric about origin.
• Bottom - left: Symmetric about y - axis (even function), not odd.
• Bottom - right: For a point ((x,y)) in the right half, ((-x,-y)) is in the left half (e.g., when (x = \pi/2), (y) is negative; when (x=-\pi/2), (y) is positive, so ((-\pi/2,1)) and ((\pi/2, - 1)) satisfy (f(-x)=-f(x))), symmetric about origin.

Answer:

The graph at the Bottom - Right