The figure above shows the graphs of five logarithmic functions, listed below. Match the functions with the colors, using b for blue, r for red, g for green, p for purple, and y for yellow.

: $f(x) = \hbox{ln}(x).$
: $f(x) = \hbox{ln}(x-1).$
: $f(x) = \hbox{ln}(x+1).$
: $f(x) = \hbox{ln}(x)-1.$
: $f(x) = \hbox{ln}(x)+1.$

Hint: Look where the graph intersects the $x$-axis, and where it has a vertical asymptote.