Use a graphing calculator to graph the function using the given viewing window. Use the graph to decide if the function
is one-to-one. If the function is one-to-one, give the equation of the inverse function.
-$$f ( x ) = \frac { - x } { x + 2 } ; [ - 8,8 ] \text { by } [ - 8,8 ]$$
A) one-to-one; $f ^ { - 1 } ( x ) = \frac { - 2 x } { x + 1 }$
B) one-to-one; $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { 2 \mathrm { x } } { \mathrm { x } + 1 }$
C) not one-to-one
D) one-to-one; $\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { - \mathrm { x } } { \mathrm { x } + 2 }$

Question

Quizplus · Accepted Answer

The function $f(x) = \frac{-x}{x+2}$ is one-to-one because it passes the horizontal line test in the given viewing window. The inverse function can be found by swapping $x$ and $y$ and solving for $y$, resulting in $f^{-1}(x) = \frac{-2x}{x+1}$.

Use a Graphing Calculator to Graph the Function Using the Given