Complete the following tasks for the function [math]f(x) = 4 \sin x[/math]: [math]\,\,\,\,\,[/math]a. [math]\,\,[/math]Graph several periods of [math]f(x)[/math] on a graphing calculator. [math]\,\,\,\,\,[/math]b. [math]\,\,[/math]Restrict the domain until there is a one-to-one correspondence, and determine the range within the restricted domain. [math]\,\,\,\,\,[/math]c. [math]\,\,[/math]Solve for the inverse function [math]g(x)[/math] algebraically, and determine its domain and range.
[list=1] [*]Graph several periods of [math]f(x)[/math] on a graphing calculator. [*]Restrict the domain until there is a one-to-one correspondence. [*]Determine the range of [math]f(x)[/math] within the restricted domain. [*]Solve for the inverse function [math]g(x)[/math] algebraically. [*]Determine the domain and range of the inverse function [math]g(x)[/math]. [/list] This applet is provided by Walch Education as supplemental material for the [i]UCSS Secondary Math III[/i] program. Visit [url="http://www.walch.com"]www.walch.com[/url] for more information on our resources.