Chapter 12.5, Problem 3ES

For a plane curve $y=f\left(x\right)$ the curvature at $\left(x,f\left(x\right)\right)$ is function $\kappa \left(x\right)$ . In these exercise the graph of $f\left(x\right)$ and $\kappa \left(x\right)$ are shown. Determine which is which and explain your reasoning.