Question

identify whether the graph of the function ( f(x) ) shown below is even, odd, or neither.

Explanation:

Step1: Recall the definitions

An even function satisfies \(f(-x)=f(x)\) and is symmetric about the \(y -\)axis. An odd function satisfies \(f(-x)=-f(x)\) and is symmetric about the origin.

Step2: Check symmetry

Looking at the graph, it is not symmetric about the \(y -\)axis (since for a general \(x\), the value of the function at \(x\) and \(-x\) is not the same). Also, it is not symmetric about the origin (since for a general \(x\), \(f(-x)
eq - f(x)\)).

Answer:

Neither.