7-8 Attributions and Transformations of Natural Logarithms

The graph of $f\left(x\right)=\ln\left(x\right)$  and a graph of a transformation of  $f\left(x\right)$  are shown.  What is the transformed function?

 What is the domain of the function   $f\left(x\right)=-3\ln\left(x+5\right)-8$  

Let  $n$  be a nonzero real number. Of the functions  $y=\log_ex+n$  ; $y=\log_e\left(x-n\right)$   ; and $y=n\log_ex$  , which has a different asymptote from the parent function   $y=\log_ex$  ?

Let  $f\left(x\right)=\ln\left(x\right)$  .  What is the MAXIMUM value over the interval  $1\le x\le e^2$  ?

(a)  

Let  $f\left(x\right)=\ln\left(x\right)$  .  What is the MINIMUM value over the interval  $1\le x\le e^2$  ?

(a)  

How does the range of equation  $y=-0.5\ln\left(x-3\right)+6$   change in comparison to the range of the parent function  $y=\ln\left(x\right)$  ?

Which transformation maps the graph of  $f\left(x\right)=\ln\left(x\right)$  to the graph of  $g\left(x\right)=\ln\left(x+13\right)$  ?

What transformation occurred on the following function?  $f\left(x\right)=-2\ln\left(x-3\right)$ 

Check ALL that applies.

The graph of which function  $g\left(x\right)$  is a translation 5 units down from the graph of  $f\left(x\right)=\ln\left(x\right)$  ?

The function shown in the graph is a translation of the parent function  $y=\ln\left(x\right)$  .  What is the function?