A pendulum swings to 90% of its height on each swing and starts at a height of 80 cm. The height of the pendulum in centimeters, [i]y[/i], is recorded after [i]x[/i] number of swings. Determine the key features of this function using the table below.
[list=1] [*]Identify the type of function described. [*]Identify the intercepts of the function based on the information in the table. [*]Determine whether the function is increasing or decreasing. [*]Determine where the function is positive and negative. [*]Determine the relative minimum and maximum of the graphed function. [*]Identify the domain of the graphed function. [*]Identify any asymptotes of the graphed function. [/list]