Select all the correct answers.



Consider function $f$ and function $g$.



$\begin{array}{l}

f(x)=\ln x \\

g(x)=-5 \ln x

\end{array}$



How does the graph of function $g$ compare with the graph of function $f$?


  • The graphs of both functions have a vertical asymptote of $x=0$.
  • Unlike the graph of function $f$, the graph of function $g$ has a $y$-intercept.
  • The graph of function $g$ is the graph of function $f$ reflected over the $x$-axis and vertically stretched by a factor of 5.
  • Unlike the graph of function $f$, the graph of function $g$ has a domain of $\{x \mid -5
  • Unlike the graph of function $f$, the graph of function $g$ decreases as $x$ increases.