\chapter{Trigonometry}

    \section{Graph of transformed tangent}
    
    

 Check your understanding 

   
Answer the questions.
\begin{enumerate}
\item
Answer True or False:
The function \(y=\tan x\) is not defined when \(x=\pi/2\) or \(x=-\pi/2\). Therefore its domain is
\((-\infty,-\pi/2)\cup (-\pi/2,\pi/2)\cup (\pi/2,\infty)\).
 
\item
What is the range of \(\tan x\)?

\item
What is the amplitude of \(f(x)=3\tan(2x) +1\)?

\item
What is the period of \(f(x)=\tan (B x) \)?

\item
How can you find two asymptotes for  \(f(x)=\tan (Bx+C) \)?

\item
Explain why \(\displaystyle f(x)=2\tan\left(x-\frac{\pi}{2}\right)\) has no \(y\)-intercept.
\end{enumerate}


   

 Back to Unit 4.8