Use the graph shown below to determine if the function is even, odd, or neither.

Question

Quizplus · Accepted Answer

A function is even if f(-x) = f(x) for all x in the domain. If a function is even, its graph is symmetric about the y-axis. 
A function is odd if f(-x) = -f(x) for all x in the domain. If a function is odd, its graph is symmetric about the origin. 
Looking at the graph, we can see that it is symmetric about the origin, which means f(-x) = -f(x) for all x in the domain. Therefore, the function is odd. 
Choice A is incorrect because the graph is not symmetric about the y-axis, so the function is not even. 
Choice C is incorrect because there is not enough information in the graph to determine if the function is periodic.

Use the Graph Shown Below to Determine If the Function