91Ó°ÊÓ

For the following exercises, state the domain, vertical asymptote, and end behavior of the function. $$f(x)=\log _{3}(15-5 x)+6$$

For the following exercises, state the domain, range, and \(x\) - and \(y\) -intercepts, if they do not exist, write DNE. $$h(x)=\log _{4}(x-1)+1$$

For the following exercises, state the domain, range, and \(x\) - and \(y\) -intercepts, if they do not exist, write DNE. $$f(x)=\log (5 x+10)+3$$

For the following exercises, state the domain, range, and \(x\) - and \(y\) -intercepts, if they do not exist, write DNE. $$g(x)=\ln (-x)-2$$

For the following exercises, state the domain, range, and \(x\) - and \(y\) -intercepts, if they do not exist, write DNE. $$f(x)=\log _{2}(x+2)-5$$

For the following exercises, state the domain, range, and \(x\) - and \(y\) -intercepts, if they do not exist, write DNE. $$h(x)=3 \ln (x)-9$$

For the following exercises, sketch the graphs of each pair of functions on the same axis. $$f(x)=\log (x) \text { and } g(x)=10^{x}$$

For the following exercises, sketch the graphs of each pair of functions on the same axis. $$f(x)=\log (x) \text { and } g(x)=\log _{\frac{1}{2}}(x)$$

For the following exercises, sketch the graphs of each pair of functions on the same axis. $$f(x)=\log _{4}(x) \text { and } g(x)=\ln (x)$$

For the following exercises, sketch the graphs of each pair of functions on the same axis. $$f(x)=e^{x} \text { and } g(x)=\ln (x)$$