\chapter{Exponentials and logarithms}
\section{Graphs of exponential and logarithmic functions}
Answer the questions.
\begin{enumerate}
\item
What is the parent function for \(f(x)=3e^{-x}+4\)?
\item
Which of the functions \(y=e^{x-2}+2\) and \(y=\log_3(x+3)-1\) has a horizontal asymptote?
\item
Which of the functions \(y=3^{-x}\) and \(y=-\ln x\) has domain \((-\infty, \infty)\)?
\item
Which of the functions \(y=\ln x\), \(y=e^{-x}\), \(y=2^{x-1}\) is decreasing?
\item
Without drawing the graph, explain why \(y=e^x +1\) has no \(x\)-intercepts.
\item
Without drawing the graph, explain why \(y=\ln(x-1)\) has no \(y\)-intercept.
\item
Is the graph shown in the picture an exponential or a logarithmic function?
\[\img{U3_6F22.png}{}{12em}{}\]
\item
What is the exact value of the \(y\)-intercept of \(y=3e^{x-2}-1\)?
\item
What is the exact value of the \(x\)-intercept of \(y=2\ln (x+1)+1\)?
\end{enumerate}