Use a Graphing Calculator to Graph the Function Using the Given

question 316

Multiple Choice

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; \(\mathrm { f } ^ { - 1 } ( \mathrm { x } ) = \frac { - \mathrm { x } } { \mathrm { x } + 2 }\)

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Definitions:

Performance Orientation

A cultural or organizational focus on performance and achievement of specific outcomes, often measured against predefined standards.

Future Orientation

A perspective or planning approach that prioritizes long-term goals and anticipates future trends and potential challenges.

Gender Equality

The state in which access to rights or opportunities is unaffected by gender, and individuals are treated equally regardless of their gender.

Motivation Orientation

The direction and intensity of an individual's impulse towards achieving particular goals or fulfilling specific needs or desires.