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

question 13

Multiple Choice

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) \(\begin{array} { l l l l } x & - 3 & 0 & 3 \\ f ( x ) & - 1 & 0 & 1 \end{array}\) \(\begin{array} { l l l l } x & - 1 & 0 & 1 \\ f ^ { - 1 } ( x ) & - 2 & 0 & 3 \end{array}\)

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