Use these six graphs (of inverse trig functions) when answering questions in exercises below.

Circle all the functions \(f\) for which the following statement is true.

The function \(f\) is increasing on the interval \((0,1)\).

\(f=A\) \(f=B\) \(f=C\) \(f=D\) \(f=E\) \(f=F\)
Circle all the functions \(f\) for which the following statement is true.

The function \(f\) is decreasing on its entire domain.

\(f=A\) \(f=B\) \(f=C\) \(f=D\) \(f=E\) \(f=F\)
Circle all the functions \(f\) for which the following statement is true.

\(f'\), the derivative of \(f\), is increasing on the interval \((0,1)\).

\(f=A\) \(f=B\) \(f=C\) \(f=D\) \(f=E\) \(f=F\)

Match the graphs above to the functions given below.

\begin{align*} \sin ^{-1}(x) &= \answer {A}\\ \cos ^{-1}(x) &= \answer {E}\\ \tan ^{-1}(x) &= \answer {B}\\ \csc ^{-1}(x) &= \answer {F}\\ \sec ^{-1}(x) &= \answer {D}\\ \cot ^{-1}(x) &= \answer {C} \end{align*}