Chapter 1.1, Problem 24ES

Sketch a possible graph for a function $f$ with the specified properties. (Many different solutions are possible.)

(i) the domain of $f$ is $\left(0,+\infty \right)$

(ii) $f\left(1\right)=0$

(iii) the $y\text{-axis}$ is a vertical asymptote for the graph of $f$

(iv) $f\left(x\right)<0\text{ if }0<x<1$