$f(x) = \sqrt{6^2-x^2},\,$ $g(x) = 2 + 2 \sin(\text{floor}(x-t) 4321),\,$ $h_k(x) = \dfrac{-5}{k}+\dfrac{2}{5}, \,$ $k=0,1,\ldots,10$
GeoGebra - Desmos - Graphtoy