A function f with the regulation 
is given.
Write down the domain of the f function and calculate the limit 
.
Calculate the abscissas of all intersections of the graph of the f function and the graph of the g
function with the regulation 
.
Prove that the f function has no local extremes. Write down all increasing intervals of the f
function.
Prove that the area between the graph of the f function, the abscissa axis, and the lines 
and 
is equal to 
.
