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.
