A cell-phone plan charges customers a monthly fee, which includes [math]500[/math] minutes of talk time. After [math]500[/math] talk minutes, the customer is charged [math]\$0.10[/math] a minute. The total monthly charges, [math]y[/math], for any number of talk minutes, [math]x[/math], can be represented using the piecewise function [math]y = \begin{cases}50, & \mbox {if 0} \leq {x} \leq {500} \\ 50 + 0.10x, & \mbox {if } x > 500 \end{cases}[/math]. Create a graph to show the monthly charges for any number of talk minutes.
[list=1] [*]Determine the domain and range of the first piece of the function. [*]Find at least two points on the graph of the first piece of the function. [*]Use the two points to graph the first piece of the function. [*]Determine the domain and range for the second piece of the function. [*]Find at least two points on the graph of the second piece of the function. [*]Use the two points to graph the second piece of the function. [/list] This applet is provided by Walch Education as supplemental material for their mathematics programs. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on their resources.