A component of a control loop is approximated by the following relation between input $x$, and output, $y$:
$y = 5x^2$
During normal operation, the value of input to this component ranges between $1$ and $1.5$. In stability analysis of the overall control loop, what is the gain of this component?
So, I'm not sure how to solve this problem. I don't know how to create a transfer function by performing a Laplace transform because this isn't a differential equation and there is only one component. Would really appreciate it if someone could point me in the right direction.