Question

describe the symmetry of this function. no symmetry

Explanation:

Step1: Check for y - axis symmetry

Replace \(x\) with \(-x\) in the function. If \(f(-x)=f(x)\), the function is symmetric about the y - axis. Visually, the graph does not mirror itself across the y - axis.

Step2: Check for origin symmetry

Replace \(x\) with \(-x\) and \(y\) with \(-y\). If \(f(-x)=-f(x)\), the function is symmetric about the origin. Visually, rotating the graph 180 - degrees about the origin does not result in the same graph.

Answer:

no symmetry