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Sketch the Graphs of Inverse Functions f(x)=x3,f1(x)=3xf ( x ) = \frac { x } { 3 } , f ^ { - 1 } ( x ) = 3 x

Question 17

Multiple Choice

Sketch the graphs of inverse functions f(x) =x3,f1(x) =3xf ( x ) = \frac { x } { 3 } , f ^ { - 1 } ( x ) = 3 x in the same coordinate plane and show that the graphs are reflections of each other in the line y=xy = x


A)  Sketch the graphs of inverse functions  f ( x )  = \frac { x } { 3 } , f ^ { - 1 } ( x )  = 3 x  in the same coordinate plane and show that the graphs are reflections of each other in the line  y = x  A)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  B)     \begin{array} { l l l l }  x & - 2 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  C)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 2 & 3 \end{array}  D)     \begin{array} { l l l l }  x & - 3 & 0 & 0 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  E)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 2 & 0 & 3 \end{array} x303f(x) 101\begin{array} { l l l l } x & - 3 & 0 & 3 \\f ( x ) & - 1 & 0 & 1\end{array} x101f1(x) 303\begin{array} { l l l l } x & - 1 & 0 & 1 \\f ^ { - 1 } ( x ) & - 3 & 0 & 3\end{array}
B)  Sketch the graphs of inverse functions  f ( x )  = \frac { x } { 3 } , f ^ { - 1 } ( x )  = 3 x  in the same coordinate plane and show that the graphs are reflections of each other in the line  y = x  A)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  B)     \begin{array} { l l l l }  x & - 2 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  C)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 2 & 3 \end{array}  D)     \begin{array} { l l l l }  x & - 3 & 0 & 0 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  E)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 2 & 0 & 3 \end{array} x203f(x) 101\begin{array} { l l l l } x & - 2 & 0 & 3 \\f ( x ) & - 1 & 0 & 1\end{array} x101f1(x) 303\begin{array} { l l l l } x & - 1 & 0 & 1 \\f ^ { - 1 } ( x ) & - 3 & 0 & 3\end{array}
C)  Sketch the graphs of inverse functions  f ( x )  = \frac { x } { 3 } , f ^ { - 1 } ( x )  = 3 x  in the same coordinate plane and show that the graphs are reflections of each other in the line  y = x  A)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  B)     \begin{array} { l l l l }  x & - 2 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  C)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 2 & 3 \end{array}  D)     \begin{array} { l l l l }  x & - 3 & 0 & 0 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  E)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 2 & 0 & 3 \end{array} x303f(x) 101\begin{array} { l l l l } x & - 3 & 0 & 3 \\f ( x ) & - 1 & 0 & 1\end{array} x101f1(x) 323\begin{array} { l l l l } x & - 1 & 0 & 1 \\f ^ { - 1 } ( x ) & - 3 & 2 & 3\end{array}
D)  Sketch the graphs of inverse functions  f ( x )  = \frac { x } { 3 } , f ^ { - 1 } ( x )  = 3 x  in the same coordinate plane and show that the graphs are reflections of each other in the line  y = x  A)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  B)     \begin{array} { l l l l }  x & - 2 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  C)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 2 & 3 \end{array}  D)     \begin{array} { l l l l }  x & - 3 & 0 & 0 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  E)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 2 & 0 & 3 \end{array} x300f(x) 101\begin{array} { l l l l } x & - 3 & 0 & 0 \\f ( x ) & - 1 & 0 & 1\end{array} x101f1(x) 303\begin{array} { l l l l } x & - 1 & 0 & 1 \\f ^ { - 1 } ( x ) & - 3 & 0 & 3\end{array}
E)  Sketch the graphs of inverse functions  f ( x )  = \frac { x } { 3 } , f ^ { - 1 } ( x )  = 3 x  in the same coordinate plane and show that the graphs are reflections of each other in the line  y = x  A)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  B)     \begin{array} { l l l l }  x & - 2 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  C)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 2 & 3 \end{array}  D)     \begin{array} { l l l l }  x & - 3 & 0 & 0 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 3 & 0 & 3 \end{array}  E)     \begin{array} { l l l l }  x & - 3 & 0 & 3 \\ f ( x )  & - 1 & 0 & 1 \end{array}   \begin{array} { l l l l }  x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x )  & - 2 & 0 & 3 \end{array} x303f(x) 101\begin{array} { l l l l } x & - 3 & 0 & 3 \\f ( x ) & - 1 & 0 & 1\end{array} x101f1(x) 203\begin{array} { l l l l } x & - 1 & 0 & 1 \\f ^ { - 1 } ( x ) & - 2 & 0 & 3\end{array}

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