Example 3

Identify the transformation(s) of the parent function [math]f(x) = \log x[/math] that result in the function [math]g(x) = 1 + 2 • \log (3x + 4)[/math]. Describe the effect of the transformation(s) on the domain and range of the function [math]g(x)[/math]. Finally, determine the [math]y[/math]-intercept(s) of [math]g(x)[/math].
[list=1][br][*]Identify the transformation(s) of the parent function.[br][/*][*]Compare the domain and range of the parent function to those of the transformed function [math]g(x)[/math].[br][/*][*]Calculate the [math]y[/math]-intercept of [math]g(x)[/math].[br][/*][/list][br]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.

Information: Example 3