Domain and Range of Logarithmic Functions

Move the sliders to transform the parent logarithmic function f(x) = ln x [br]into the function f(x) = a*ln (x - h) + k. [br]Write the [color=#FF0000]domain[/color], [color=#CC00CC]range[/color] and the equation of the vertical [color=#00CC66]asymptote[/color] for each of the examples that follow.
1. f(x) = 2*ln(x + 3) [br]2. f(x) = 0.4*ln(x-3) - 1[br]3. f(x) = -3*ln(x-1) + 4[br]4. f(x) = -0.5*log x - 2[br][br]Journal Entry:[br]Describe how the values of a, h, and k can be used to find the domain and range of a logarithmic function in the form f(x) = a ln (x - h) + k.[br]Compare the domain and range of f(x) = a ln (x - h) + k. to the domain and range of its parent function[br]f(x) = ln x. Which of the values a, h, or k have a role in determining the domain and range? Why? Use specific examples to support your claims.

Information: Domain and Range of Logarithmic Functions